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Finding the Third Proportional to 22,125,982 and 48,286,737

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Solution

The third proportional to 22,125,982 and 48,286,737 is: 105,378,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,125,982 : 48,286,737 = 48,286,737 : x
  2. Step 2: Convert to fraction form
    22,125,982/48,286,737 = 48,286,737/x
  3. Step 3: Cross multiply
    22,125,982x = 48,286,737 × 48,286,737
  4. Step 4: Simplify right side
    22,125,982x = 2,331,608,970,107,169
  5. Step 5: Solve for x
    x = 2,331,608,970,107,169/22,125,982
  6. Step 6: Final answer
    x = 105,378,779.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.