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Finding the Third Proportional to 227,909,750 and 463,873,978

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Solution

The third proportional to 227,909,750 and 463,873,978 is: 944,141,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,909,750 : 463,873,978 = 463,873,978 : x
  2. Step 2: Convert to fraction form
    227,909,750/463,873,978 = 463,873,978/x
  3. Step 3: Cross multiply
    227,909,750x = 463,873,978 × 463,873,978
  4. Step 4: Simplify right side
    227,909,750x = 215,179,067,465,544,480
  5. Step 5: Solve for x
    x = 215,179,067,465,544,480/227,909,750
  6. Step 6: Final answer
    x = 944,141,562.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.