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Finding the Third Proportional to 4,218,902.50 and 9,204,449

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Solution

The third proportional to 4,218,902.50 and 9,204,449 is: 20,081,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218,902.50 : 9,204,449 = 9,204,449 : x
  2. Step 2: Convert to fraction form
    4,218,902.50/9,204,449 = 9,204,449/x
  3. Step 3: Cross multiply
    4,218,902.50x = 9,204,449 × 9,204,449
  4. Step 4: Simplify right side
    4,218,902.50x = 84,721,881,393,601
  5. Step 5: Solve for x
    x = 84,721,881,393,601/4,218,902.50
  6. Step 6: Final answer
    x = 20,081,497.83

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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.