  Let $\Delta$ be the optimal packing density of $\mathbb R^n$ by unit balls.
We show the optimal packing density using two sizes of balls approaches $\Delta
+ (1 - \Delta) \Delta$ as the ratio of the radii tends to infinity. More
generally, if $B$ is a body and $D$ is a finite set of bodies, then the optimal
density $\Delta_{\{rB\} \cup D}$ of packings consisting of congruent copies of
the bodies from $\{rB\} \cup D$ converges to $\Delta_D + (1 - \Delta_D)
\Delta_{\{B\}}$ as $r$ tends to zero.
