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By the rules, you should not have any issues; as long as your visas are not restricted in any way and are valid for the entire Schengen zone.
Make sure you have copies of documentation you provided at the embassy for your visas as you may be asked to produce these at the immigration counter.
Once your passports are stamped at Athens, the remainder of your journey will not have any immigration formalities as you would be traveling within the Schengen zone; however due to the heightened security (especially in France), you may be asked to show your passports at Paris.