The purpose of this study is to demonstrate that the NFW DM density profile is consistent with the velocity decay law characterized by a radial dependence of r^-0.25 within the halo regions of MW, M31 and other fives galaxies outside the LG. The velocity decay law was derived from a novel framework known as the DM by Quantum Gravitation theory, hereafter DMbQG. This theory proposes that DM arises from the propagation of the gravitational field through an as-yet-unknown quantum gravitational phenomenon.As the NFW method have been validated extensively is crucial to examine if the new DMbQG theory produces a virial mass indistinguishable from NFW predictions.At the core of the DMbQG framework lies the direct mass formula, which yields the total enclosed mass within a sphere of radius r. The total mass depends on the parameter a^2, where a is the proportionality constant in the velocity decay law.There is a dual approaches to calculate the parameter a : (i) directly from the galactic rotation curve in the halo region, (ii) indirectly from the virial mass and radius derived via the NFW model and using the direct mass. In practice, the total galactic virial mass can be estimated by adding the baryonic mass to the virial DM mass obtained through the NFW method.Consequently, if the parameter a derived from the rotation curve coincides with the value of a obtained using the direct mass formula with the total mass inferred from the NFW formalism, the central thesis of this work is validated.The structure of this paper is as follows: In Chapter 2, the parameter a is calculated for the MW using rotation curve datasets from two independent authors. Chapter 3 introduces the NFW formalism and its principal expressions. Chapter 4 presents the derivation of a^2 from the direct mass formula using the virial mass obtained through the NFW method. In Chapter 5, the parameter a obtained through both approaches is compared for the MW using two independent datasets. Chapter 6 mirrors this analysis for the M31 galaxy, again employing two distinct datasets. Chapters 7, 8 and 9 study the compatibility of NFW method with the decay law velocity in five galaxies outside the Local Group, being four galaxies selected from the SPARC project. Across these seven galaxies, inside and outside the Local Group, the results provide strong support for the velocity decay law into the halo as universal.