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Finding the Third Proportional to 11,881,734 and 25,468,737

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Solution

The third proportional to 11,881,734 and 25,468,737 is: 54,592,752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881,734 : 25,468,737 = 25,468,737 : x
  2. Step 2: Convert to fraction form
    11,881,734/25,468,737 = 25,468,737/x
  3. Step 3: Cross multiply
    11,881,734x = 25,468,737 × 25,468,737
  4. Step 4: Simplify right side
    11,881,734x = 648,656,564,375,169
  5. Step 5: Solve for x
    x = 648,656,564,375,169/11,881,734
  6. Step 6: Final answer
    x = 54,592,752.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.