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Finding the Third Proportional to 82,761,759 and 175,610,691

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Solution

The third proportional to 82,761,759 and 175,610,691 is: 372,625,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,761,759 : 175,610,691 = 175,610,691 : x
  2. Step 2: Convert to fraction form
    82,761,759/175,610,691 = 175,610,691/x
  3. Step 3: Cross multiply
    82,761,759x = 175,610,691 × 175,610,691
  4. Step 4: Simplify right side
    82,761,759x = 30,839,114,793,497,480
  5. Step 5: Solve for x
    x = 30,839,114,793,497,480/82,761,759
  6. Step 6: Final answer
    x = 372,625,173.34

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Why These Related Problems?

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