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Finding the Third Proportional to 57,770,951,971 and 125,797,952,465

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Solution

The third proportional to 57,770,951,971 and 125,797,952,465 is: 273,928,753,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,770,951,971 : 125,797,952,465 = 125,797,952,465 : x
  2. Step 2: Convert to fraction form
    57,770,951,971/125,797,952,465 = 125,797,952,465/x
  3. Step 3: Cross multiply
    57,770,951,971x = 125,797,952,465 × 125,797,952,465
  4. Step 4: Simplify right side
    57,770,951,971x = 15,825,124,844,386,400,600,064
  5. Step 5: Solve for x
    x = 15,825,124,844,386,400,600,064/57,770,951,971
  6. Step 6: Final answer
    x = 273,928,753,196.42

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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.