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Finding the Third Proportional to 71,786,092 and 157,926,680

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Solution

The third proportional to 71,786,092 and 157,926,680 is: 347,432,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,786,092 : 157,926,680 = 157,926,680 : x
  2. Step 2: Convert to fraction form
    71,786,092/157,926,680 = 157,926,680/x
  3. Step 3: Cross multiply
    71,786,092x = 157,926,680 × 157,926,680
  4. Step 4: Simplify right side
    71,786,092x = 24,940,836,255,822,400
  5. Step 5: Solve for x
    x = 24,940,836,255,822,400/71,786,092
  6. Step 6: Final answer
    x = 347,432,706.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.