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Finding the Third Proportional to 227,909,738 and 463,873,952

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Solution

The third proportional to 227,909,738 and 463,873,952 is: 944,141,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,909,738 : 463,873,952 = 463,873,952 : x
  2. Step 2: Convert to fraction form
    227,909,738/463,873,952 = 463,873,952/x
  3. Step 3: Cross multiply
    227,909,738x = 463,873,952 × 463,873,952
  4. Step 4: Simplify right side
    227,909,738x = 215,179,043,344,098,304
  5. Step 5: Solve for x
    x = 215,179,043,344,098,304/227,909,738
  6. Step 6: Final answer
    x = 944,141,506.34

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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.