  An ensemble of pure numbers of order near 10^122 is produced naturally from
the fundamental parameters of modern cosmology. This new large-number
coincidence problem is resolved by demonstrating implicit physical connections
that follow from the standard cosmological model. However, the occurrence of
the new large-number coincidence combined with the known coincidence among pure
numbers of order near 10^40 poses a distinct problem that is resolved with a
scaling law for the cosmological constant that was originally proposed by
Zel'dovich.
