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Finding the Third Proportional to 5,151,614 and 11,188,180

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Solution

The third proportional to 5,151,614 and 11,188,180 is: 24,298,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151,614 : 11,188,180 = 11,188,180 : x
  2. Step 2: Convert to fraction form
    5,151,614/11,188,180 = 11,188,180/x
  3. Step 3: Cross multiply
    5,151,614x = 11,188,180 × 11,188,180
  4. Step 4: Simplify right side
    5,151,614x = 125,175,371,712,400
  5. Step 5: Solve for x
    x = 125,175,371,712,400/5,151,614
  6. Step 6: Final answer
    x = 24,298,282.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.