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Finding the Third Proportional to 2,498,107.50 and 5,448,001.50

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Solution

The third proportional to 2,498,107.50 and 5,448,001.50 is: 11,881,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498,107.50 : 5,448,001.50 = 5,448,001.50 : x
  2. Step 2: Convert to fraction form
    2,498,107.50/5,448,001.50 = 5,448,001.50/x
  3. Step 3: Cross multiply
    2,498,107.50x = 5,448,001.50 × 5,448,001.50
  4. Step 4: Simplify right side
    2,498,107.50x = 29,680,720,344,002.25
  5. Step 5: Solve for x
    x = 29,680,720,344,002.25/2,498,107.50
  6. Step 6: Final answer
    x = 11,881,282.27

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