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Finding the Third Proportional to 71,969,654 and 156,717,868

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Solution

The third proportional to 71,969,654 and 156,717,868 is: 341,261,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,969,654 : 156,717,868 = 156,717,868 : x
  2. Step 2: Convert to fraction form
    71,969,654/156,717,868 = 156,717,868/x
  3. Step 3: Cross multiply
    71,969,654x = 156,717,868 × 156,717,868
  4. Step 4: Simplify right side
    71,969,654x = 24,560,490,150,465,424
  5. Step 5: Solve for x
    x = 24,560,490,150,465,424/71,969,654
  6. Step 6: Final answer
    x = 341,261,751.11

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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.