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Finding the Third Proportional to 3,752,084.25 and 8,181,648

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Solution

The third proportional to 3,752,084.25 and 8,181,648 is: 17,840,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752,084.25 : 8,181,648 = 8,181,648 : x
  2. Step 2: Convert to fraction form
    3,752,084.25/8,181,648 = 8,181,648/x
  3. Step 3: Cross multiply
    3,752,084.25x = 8,181,648 × 8,181,648
  4. Step 4: Simplify right side
    3,752,084.25x = 66,939,363,995,904
  5. Step 5: Solve for x
    x = 66,939,363,995,904/3,752,084.25
  6. Step 6: Final answer
    x = 17,840,581.27

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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.