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Finding the Third Proportional to 5,693,257.13 and 12,397,318.31

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Solution

The third proportional to 5,693,257.13 and 12,397,318.31 is: 26,995,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693,257.13 : 12,397,318.31 = 12,397,318.31 : x
  2. Step 2: Convert to fraction form
    5,693,257.13/12,397,318.31 = 12,397,318.31/x
  3. Step 3: Cross multiply
    5,693,257.13x = 12,397,318.31 × 12,397,318.31
  4. Step 4: Simplify right side
    5,693,257.13x = 153,693,501,341,447.84
  5. Step 5: Solve for x
    x = 153,693,501,341,447.84/5,693,257.13
  6. Step 6: Final answer
    x = 26,995,707.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.