The asymptotic solution for the reaction rate of two identical spherical sinks of radius p with a surface reaction rate coefficient k, placed in an infinite medium of diffusivity D, is presented for mid to high surface reaction rates, i.e., 1 < lambda(-1) = k rho/D < infinity. These results are then discussed in the context of the complete kinetic problem from chemical, lambda(-1) approximate to 0.1, to diffusion control, lambda(-1) --> infinity.