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Finding the Third Proportional to 71,969,676 and 156,717,912

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Solution

The third proportional to 71,969,676 and 156,717,912 is: 341,261,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,969,676 : 156,717,912 = 156,717,912 : x
  2. Step 2: Convert to fraction form
    71,969,676/156,717,912 = 156,717,912/x
  3. Step 3: Cross multiply
    71,969,676x = 156,717,912 × 156,717,912
  4. Step 4: Simplify right side
    71,969,676x = 24,560,503,941,639,744
  5. Step 5: Solve for x
    x = 24,560,503,941,639,744/71,969,676
  6. Step 6: Final answer
    x = 341,261,838.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.