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Finding the Third Proportional to 227,127,339 and 494,112,753

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Solution

The third proportional to 227,127,339 and 494,112,753 is: 1,074,936,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,127,339 : 494,112,753 = 494,112,753 : x
  2. Step 2: Convert to fraction form
    227,127,339/494,112,753 = 494,112,753/x
  3. Step 3: Cross multiply
    227,127,339x = 494,112,753 × 494,112,753
  4. Step 4: Simplify right side
    227,127,339x = 244,147,412,677,239,008
  5. Step 5: Solve for x
    x = 244,147,412,677,239,008/227,127,339
  6. Step 6: Final answer
    x = 1,074,936,261.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.