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Finding the Third Proportional to 129,443,751 and 278,097,624

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Solution

The third proportional to 129,443,751 and 278,097,624 is: 597,466,373.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,443,751 : 278,097,624 = 278,097,624 : x
  2. Step 2: Convert to fraction form
    129,443,751/278,097,624 = 278,097,624/x
  3. Step 3: Cross multiply
    129,443,751x = 278,097,624 × 278,097,624
  4. Step 4: Simplify right side
    129,443,751x = 77,338,288,474,445,376
  5. Step 5: Solve for x
    x = 77,338,288,474,445,376/129,443,751
  6. Step 6: Final answer
    x = 597,466,373.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.