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Finding the Third Proportional to 6,165,942 and 12,996,624

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Solution

The third proportional to 6,165,942 and 12,996,624 is: 27,394,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165,942 : 12,996,624 = 12,996,624 : x
  2. Step 2: Convert to fraction form
    6,165,942/12,996,624 = 12,996,624/x
  3. Step 3: Cross multiply
    6,165,942x = 12,996,624 × 12,996,624
  4. Step 4: Simplify right side
    6,165,942x = 168,912,235,397,376
  5. Step 5: Solve for x
    x = 168,912,235,397,376/6,165,942
  6. Step 6: Final answer
    x = 27,394,392.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.