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Finding the Third Proportional to 57,770,951,969 and 125,797,952,461

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Solution

The third proportional to 57,770,951,969 and 125,797,952,461 is: 273,928,753,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,770,951,969 : 125,797,952,461 = 125,797,952,461 : x
  2. Step 2: Convert to fraction form
    57,770,951,969/125,797,952,461 = 125,797,952,461/x
  3. Step 3: Cross multiply
    57,770,951,969x = 125,797,952,461 × 125,797,952,461
  4. Step 4: Simplify right side
    57,770,951,969x = 15,825,124,843,380,015,104,000
  5. Step 5: Solve for x
    x = 15,825,124,843,380,015,104,000/57,770,951,969
  6. Step 6: Final answer
    x = 273,928,753,188.49

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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.