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Finding the Third Proportional to 12,441,909 and 17,791,951

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Solution

The third proportional to 12,441,909 and 17,791,951 is: 25,442,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441,909 : 17,791,951 = 17,791,951 : x
  2. Step 2: Convert to fraction form
    12,441,909/17,791,951 = 17,791,951/x
  3. Step 3: Cross multiply
    12,441,909x = 17,791,951 × 17,791,951
  4. Step 4: Simplify right side
    12,441,909x = 316,553,520,386,401
  5. Step 5: Solve for x
    x = 316,553,520,386,401/12,441,909
  6. Step 6: Final answer
    x = 25,442,520.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.