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Finding the Third Proportional to 227,467,761 and 491,181,366

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Solution

The third proportional to 227,467,761 and 491,181,366 is: 1,060,630,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,467,761 : 491,181,366 = 491,181,366 : x
  2. Step 2: Convert to fraction form
    227,467,761/491,181,366 = 491,181,366/x
  3. Step 3: Cross multiply
    227,467,761x = 491,181,366 × 491,181,366
  4. Step 4: Simplify right side
    227,467,761x = 241,259,134,305,625,952
  5. Step 5: Solve for x
    x = 241,259,134,305,625,952/227,467,761
  6. Step 6: Final answer
    x = 1,060,630,013.00

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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.