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Finding the Third Proportional to 5,144,839 and 11,175,374

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Solution

The third proportional to 5,144,839 and 11,175,374 is: 24,274,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144,839 : 11,175,374 = 11,175,374 : x
  2. Step 2: Convert to fraction form
    5,144,839/11,175,374 = 11,175,374/x
  3. Step 3: Cross multiply
    5,144,839x = 11,175,374 × 11,175,374
  4. Step 4: Simplify right side
    5,144,839x = 124,888,984,039,876
  5. Step 5: Solve for x
    x = 124,888,984,039,876/5,144,839
  6. Step 6: Final answer
    x = 24,274,614.63

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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.