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Finding the Third Proportional to 227,909,727 and 463,873,932

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Solution

The third proportional to 227,909,727 and 463,873,932 is: 944,141,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,909,727 : 463,873,932 = 463,873,932 : x
  2. Step 2: Convert to fraction form
    227,909,727/463,873,932 = 463,873,932/x
  3. Step 3: Cross multiply
    227,909,727x = 463,873,932 × 463,873,932
  4. Step 4: Simplify right side
    227,909,727x = 215,179,024,789,140,608
  5. Step 5: Solve for x
    x = 215,179,024,789,140,608/227,909,727
  6. Step 6: Final answer
    x = 944,141,470.49

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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.