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Finding the Third Proportional to 4,214,689.31 and 9,137,961.56

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Solution

The third proportional to 4,214,689.31 and 9,137,961.56 is: 19,812,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214,689.31 : 9,137,961.56 = 9,137,961.56 : x
  2. Step 2: Convert to fraction form
    4,214,689.31/9,137,961.56 = 9,137,961.56/x
  3. Step 3: Cross multiply
    4,214,689.31x = 9,137,961.56 × 9,137,961.56
  4. Step 4: Simplify right side
    4,214,689.31x = 83,502,341,517,727.44
  5. Step 5: Solve for x
    x = 83,502,341,517,727.44/4,214,689.31
  6. Step 6: Final answer
    x = 19,812,217.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.