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Finding the Third Proportional to 227,909,760 and 463,873,992

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Solution

The third proportional to 227,909,760 and 463,873,992 is: 944,141,578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,909,760 : 463,873,992 = 463,873,992 : x
  2. Step 2: Convert to fraction form
    227,909,760/463,873,992 = 463,873,992/x
  3. Step 3: Cross multiply
    227,909,760x = 463,873,992 × 463,873,992
  4. Step 4: Simplify right side
    227,909,760x = 215,179,080,454,016,064
  5. Step 5: Solve for x
    x = 215,179,080,454,016,064/227,909,760
  6. Step 6: Final answer
    x = 944,141,578.03

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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.