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Finding the Third Proportional to 82,761,761 and 175,610,695

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Solution

The third proportional to 82,761,761 and 175,610,695 is: 372,625,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,761,761 : 175,610,695 = 175,610,695 : x
  2. Step 2: Convert to fraction form
    82,761,761/175,610,695 = 175,610,695/x
  3. Step 3: Cross multiply
    82,761,761x = 175,610,695 × 175,610,695
  4. Step 4: Simplify right side
    82,761,761x = 30,839,116,198,383,024
  5. Step 5: Solve for x
    x = 30,839,116,198,383,024/82,761,761
  6. Step 6: Final answer
    x = 372,625,181.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.