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Finding the Third Proportional to 10,661,174.25 and 23,024,586

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Solution

The third proportional to 10,661,174.25 and 23,024,586 is: 49,725,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661,174.25 : 23,024,586 = 23,024,586 : x
  2. Step 2: Convert to fraction form
    10,661,174.25/23,024,586 = 23,024,586/x
  3. Step 3: Cross multiply
    10,661,174.25x = 23,024,586 × 23,024,586
  4. Step 4: Simplify right side
    10,661,174.25x = 530,131,560,471,396
  5. Step 5: Solve for x
    x = 530,131,560,471,396/10,661,174.25
  6. Step 6: Final answer
    x = 49,725,438.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.