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Finding the Third Proportional to 71,738,766 and 100,663,694

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Solution

The third proportional to 71,738,766 and 100,663,694 is: 141,251,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,738,766 : 100,663,694 = 100,663,694 : x
  2. Step 2: Convert to fraction form
    71,738,766/100,663,694 = 100,663,694/x
  3. Step 3: Cross multiply
    71,738,766x = 100,663,694 × 100,663,694
  4. Step 4: Simplify right side
    71,738,766x = 10,133,179,289,725,636
  5. Step 5: Solve for x
    x = 10,133,179,289,725,636/71,738,766
  6. Step 6: Final answer
    x = 141,251,095.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.