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Finding the Third Proportional to 22,432,924 and 48,694,418

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Solution

The third proportional to 22,432,924 and 48,694,418 is: 105,699,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432,924 : 48,694,418 = 48,694,418 : x
  2. Step 2: Convert to fraction form
    22,432,924/48,694,418 = 48,694,418/x
  3. Step 3: Cross multiply
    22,432,924x = 48,694,418 × 48,694,418
  4. Step 4: Simplify right side
    22,432,924x = 2,371,146,344,358,724
  5. Step 5: Solve for x
    x = 2,371,146,344,358,724/22,432,924
  6. Step 6: Final answer
    x = 105,699,388.29

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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.