Finding the Third Proportional to 568,710,761,728 and 1,184,493,378,368
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Solution
The third proportional to 568,710,761,728 and 1,184,493,378,368 is: 2,467,026,576,276.87
Step by Step Solution
- Step 1: Write the proportion equation
568,710,761,728 : 1,184,493,378,368 = 1,184,493,378,368 : x - Step 2: Convert to fraction form
568,710,761,728/1,184,493,378,368 = 1,184,493,378,368/x - Step 3: Cross multiply
568,710,761,728x = 1,184,493,378,368 × 1,184,493,378,368 - Step 4: Simplify right side
568,710,761,728x = 1,403,024,563,397,638,125,256,704 - Step 5: Solve for x
x = 1,403,024,563,397,638,125,256,704/568,710,761,728 - Step 6: Final answer
x = 2,467,026,576,276.87
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.