  We develop a novel method to analyze the excluded volume of the
multicomponent mixtures of classical hard spheres in the grand canonical
ensemble. The method is based on the Laplace-Fourier transform technique and
allows one to account for the fluctuations of the particle number density for
the induced surface and curvature tensions equation of state. As a result one
can go beyond the Van der Waals approximation by obtaining the suppression of
the induced surface and curvature tensions coefficients at moderate and high
packing fractions. In contrast to the standard induced surface and curvature
tensions equation of state the suppression of these coefficients is not an
exponential one, but a power-like one. The obtained alternative equation of
state is further generalized to account for higher virial coefficients. This
result is straightforwardly generalized to the case of quantum statistics.
