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Finding the Third Proportional to 11,959,108 and 25,512,727

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Solution

The third proportional to 11,959,108 and 25,512,727 is: 54,427,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959,108 : 25,512,727 = 25,512,727 : x
  2. Step 2: Convert to fraction form
    11,959,108/25,512,727 = 25,512,727/x
  3. Step 3: Cross multiply
    11,959,108x = 25,512,727 × 25,512,727
  4. Step 4: Simplify right side
    11,959,108x = 650,899,238,976,529
  5. Step 5: Solve for x
    x = 650,899,238,976,529/11,959,108
  6. Step 6: Final answer
    x = 54,427,072.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.