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Finding the Third Proportional to 3,647,146 and 8,442,493

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Solution

The third proportional to 3,647,146 and 8,442,493 is: 19,542,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,146 : 8,442,493 = 8,442,493 : x
  2. Step 2: Convert to fraction form
    3,647,146/8,442,493 = 8,442,493/x
  3. Step 3: Cross multiply
    3,647,146x = 8,442,493 × 8,442,493
  4. Step 4: Simplify right side
    3,647,146x = 71,275,688,055,049
  5. Step 5: Solve for x
    x = 71,275,688,055,049/3,647,146
  6. Step 6: Final answer
    x = 19,542,866.68

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.