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Finding the Third Proportional to 3,647,136 and 8,442,471

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Solution

The third proportional to 3,647,136 and 8,442,471 is: 19,542,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,136 : 8,442,471 = 8,442,471 : x
  2. Step 2: Convert to fraction form
    3,647,136/8,442,471 = 8,442,471/x
  3. Step 3: Cross multiply
    3,647,136x = 8,442,471 × 8,442,471
  4. Step 4: Simplify right side
    3,647,136x = 71,275,316,585,841
  5. Step 5: Solve for x
    x = 71,275,316,585,841/3,647,136
  6. Step 6: Final answer
    x = 19,542,818.42

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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.