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At 2000 fps terminal velocity a .30 cal. 220 gr bullet will easily outperform a 7mm with an identically constructed 175 gr bullet at the same terminal velocity due to a higher SD ... and with about the same amount of recoil.
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Given that both bullets will have a similar B.C. and a similar muzzle velocity to produce the same impact velocity, physics tells us that the 220gr bullet has to produce significantly more recoil.