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We investigate pairing between unequal-mass fermions in the unitary regime for a mass ratio corresponding to a 6Li-40K mixture. We show that the fully paired superfluid state is nearly independent of the mass ratio; the ground-state energy and the average light and heavy particle excitation spectrum change very little. However, in the majority light system, the polarized superfluid is close to stability compared to a phase separated state. For a majority of heavy particles, we find an energy minimum for a normal state with a ratio of ~ 3:1 heavy to light particles. A slight increase in attraction to kF*a ~ 2.5 renders the system unstable. A cold unpolarized system in a harmonic trap at unitarity should phase separate into three regions: a normal state with a large heavy to light ratio in the center, followed by a shell of fully paired superfluid in the middle and either a polarized superfluid or a nearly fully polarized normal state in the exterior.