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Finding the Third Proportional to 5,704,872 and 12,529,344

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Solution

The third proportional to 5,704,872 and 12,529,344 is: 27,517,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704,872 : 12,529,344 = 12,529,344 : x
  2. Step 2: Convert to fraction form
    5,704,872/12,529,344 = 12,529,344/x
  3. Step 3: Cross multiply
    5,704,872x = 12,529,344 × 12,529,344
  4. Step 4: Simplify right side
    5,704,872x = 156,984,461,070,336
  5. Step 5: Solve for x
    x = 156,984,461,070,336/5,704,872
  6. Step 6: Final answer
    x = 27,517,613.20

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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.