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Finding the Third Proportional to 71,797,896 and 173,101,042

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Solution

The third proportional to 71,797,896 and 173,101,042 is: 417,337,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,797,896 : 173,101,042 = 173,101,042 : x
  2. Step 2: Convert to fraction form
    71,797,896/173,101,042 = 173,101,042/x
  3. Step 3: Cross multiply
    71,797,896x = 173,101,042 × 173,101,042
  4. Step 4: Simplify right side
    71,797,896x = 29,963,970,741,485,764
  5. Step 5: Solve for x
    x = 29,963,970,741,485,764/71,797,896
  6. Step 6: Final answer
    x = 417,337,727.30

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.