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Finding the Third Proportional to 2,254,902,086 and 3,449,747,721

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Solution

The third proportional to 2,254,902,086 and 3,449,747,721 is: 5,277,727,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254,902,086 : 3,449,747,721 = 3,449,747,721 : x
  2. Step 2: Convert to fraction form
    2,254,902,086/3,449,747,721 = 3,449,747,721/x
  3. Step 3: Cross multiply
    2,254,902,086x = 3,449,747,721 × 3,449,747,721
  4. Step 4: Simplify right side
    2,254,902,086x = 11,900,759,338,544,693,248
  5. Step 5: Solve for x
    x = 11,900,759,338,544,693,248/2,254,902,086
  6. Step 6: Final answer
    x = 5,277,727,761.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.