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Finding the Third Proportional to 75,870,436 and 117,697,542

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Solution

The third proportional to 75,870,436 and 117,697,542 is: 182,583,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,870,436 : 117,697,542 = 117,697,542 : x
  2. Step 2: Convert to fraction form
    75,870,436/117,697,542 = 117,697,542/x
  3. Step 3: Cross multiply
    75,870,436x = 117,697,542 × 117,697,542
  4. Step 4: Simplify right side
    75,870,436x = 13,852,711,392,841,764
  5. Step 5: Solve for x
    x = 13,852,711,392,841,764/75,870,436
  6. Step 6: Final answer
    x = 182,583,785.24

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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.