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Finding the Third Proportional to 61,376,614 and 131,263,571

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Solution

The third proportional to 61,376,614 and 131,263,571 is: 280,727,852.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,376,614 : 131,263,571 = 131,263,571 : x
  2. Step 2: Convert to fraction form
    61,376,614/131,263,571 = 131,263,571/x
  3. Step 3: Cross multiply
    61,376,614x = 131,263,571 × 131,263,571
  4. Step 4: Simplify right side
    61,376,614x = 17,230,125,071,672,040
  5. Step 5: Solve for x
    x = 17,230,125,071,672,040/61,376,614
  6. Step 6: Final answer
    x = 280,727,852.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.