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Finding the Third Proportional to 3,647,140 and 8,442,478

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Solution

The third proportional to 3,647,140 and 8,442,478 is: 19,542,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,140 : 8,442,478 = 8,442,478 : x
  2. Step 2: Convert to fraction form
    3,647,140/8,442,478 = 8,442,478/x
  3. Step 3: Cross multiply
    3,647,140x = 8,442,478 × 8,442,478
  4. Step 4: Simplify right side
    3,647,140x = 71,275,434,780,484
  5. Step 5: Solve for x
    x = 71,275,434,780,484/3,647,140
  6. Step 6: Final answer
    x = 19,542,829.39

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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.