No. These measurements refer to different cartridges, depending on which ones specifically you had in mind for 7.62 (e,g,, 7.62x25, 7.62x33, 7.62x39, 7.62x45, 7.62x54R, 7.62x63, 7.62x67, etc)There is often a bit of confusion on this, as the West and Russia had different means of measuring cartridge diameter - the "8mm" cartridge is actually the 7.92x57 Mauser cartridge, and the Russian "7.62" cartridges actually had a diameter of 7.92mm, which is why Austria-Hungary was able to convert captured Russian Nagant rifles to 7.92x57.
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