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Finding the Third Proportional to 3,913,193.25 and 5,407,165.13

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Solution

The third proportional to 3,913,193.25 and 5,407,165.13 is: 7,471,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913,193.25 : 5,407,165.13 = 5,407,165.13 : x
  2. Step 2: Convert to fraction form
    3,913,193.25/5,407,165.13 = 5,407,165.13/x
  3. Step 3: Cross multiply
    3,913,193.25x = 5,407,165.13 × 5,407,165.13
  4. Step 4: Simplify right side
    3,913,193.25x = 29,237,434,689,016.27
  5. Step 5: Solve for x
    x = 29,237,434,689,016.27/3,913,193.25
  6. Step 6: Final answer
    x = 7,471,502.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.