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Finding the Third Proportional to 21,948,736 and 48,242,561

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Solution

The third proportional to 21,948,736 and 48,242,561 is: 106,035,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,948,736 : 48,242,561 = 48,242,561 : x
  2. Step 2: Convert to fraction form
    21,948,736/48,242,561 = 48,242,561/x
  3. Step 3: Cross multiply
    21,948,736x = 48,242,561 × 48,242,561
  4. Step 4: Simplify right side
    21,948,736x = 2,327,344,691,838,721
  5. Step 5: Solve for x
    x = 2,327,344,691,838,721/21,948,736
  6. Step 6: Final answer
    x = 106,035,477.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.