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Finding the Third Proportional to 2,327,640.75 and 5,074,245

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Solution

The third proportional to 2,327,640.75 and 5,074,245 is: 11,061,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327,640.75 : 5,074,245 = 5,074,245 : x
  2. Step 2: Convert to fraction form
    2,327,640.75/5,074,245 = 5,074,245/x
  3. Step 3: Cross multiply
    2,327,640.75x = 5,074,245 × 5,074,245
  4. Step 4: Simplify right side
    2,327,640.75x = 25,747,962,320,025
  5. Step 5: Solve for x
    x = 25,747,962,320,025/2,327,640.75
  6. Step 6: Final answer
    x = 11,061,828.30

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Why These Related Problems?

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