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Finding the Third Proportional to 32,691,330 and 68,770,566

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Solution

The third proportional to 32,691,330 and 68,770,566 is: 144,668,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,691,330 : 68,770,566 = 68,770,566 : x
  2. Step 2: Convert to fraction form
    32,691,330/68,770,566 = 68,770,566/x
  3. Step 3: Cross multiply
    32,691,330x = 68,770,566 × 68,770,566
  4. Step 4: Simplify right side
    32,691,330x = 4,729,390,747,960,356
  5. Step 5: Solve for x
    x = 4,729,390,747,960,356/32,691,330
  6. Step 6: Final answer
    x = 144,668,043.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.