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Finding the Third Proportional to 7,752,448 and 16,982,016

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Solution

The third proportional to 7,752,448 and 16,982,016 is: 37,199,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752,448 : 16,982,016 = 16,982,016 : x
  2. Step 2: Convert to fraction form
    7,752,448/16,982,016 = 16,982,016/x
  3. Step 3: Cross multiply
    7,752,448x = 16,982,016 × 16,982,016
  4. Step 4: Simplify right side
    7,752,448x = 288,388,867,424,256
  5. Step 5: Solve for x
    x = 288,388,867,424,256/7,752,448
  6. Step 6: Final answer
    x = 37,199,716.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.