In this paper, we describe a massively parallel implementation of the Splitting Equilibration Algorithm using CM FORTRAN on the Thinking Machines CM-2 system. Numerical results using upwards of 32 768 (32 K) processors on the CM-2 system, the Connection Machine, are presented for both input/output and social accounting matrix estimation problems and compared with those obtained for the same problems on the IBM 3090. Our experiences with the relative ease/difficulty of the implementations on these fine-grain parallel architectures are also presented and discussed. Citation Copyright 1993 by Kluwer Academic Publishers.