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Finding the Third Proportional to 71,822,331 and 111,438,630

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Solution

The third proportional to 71,822,331 and 111,438,630 is: 172,906,783.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,822,331 : 111,438,630 = 111,438,630 : x
  2. Step 2: Convert to fraction form
    71,822,331/111,438,630 = 111,438,630/x
  3. Step 3: Cross multiply
    71,822,331x = 111,438,630 × 111,438,630
  4. Step 4: Simplify right side
    71,822,331x = 12,418,568,256,276,900
  5. Step 5: Solve for x
    x = 12,418,568,256,276,900/71,822,331
  6. Step 6: Final answer
    x = 172,906,783.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.