A giant enhancement of the static dielectric permittivity and a giant dielectric relaxation in a heterogeneous medium consisting of regularly arranged spheroids distributed in the matrix and described by the Maxwell-Garnett formula were studied. The influence of the inclusions aspect ratio and their concentration is analyzed. The possibility to apply the obtained results to the theoretical consideration of different heterogeneous ferroactive materials is proved. It is shown that observation of the collective dielectric resonance in such media is impossible, and only relaxation processes are the way of obtaining unusual properties of considered materials. Some valuable formulae are derived and discussed.