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Finding the Third Proportional to 47,729,935,272 and 66,364,659,870

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Solution

The third proportional to 47,729,935,272 and 66,364,659,870 is: 92,274,754,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,729,935,272 : 66,364,659,870 = 66,364,659,870 : x
  2. Step 2: Convert to fraction form
    47,729,935,272/66,364,659,870 = 66,364,659,870/x
  3. Step 3: Cross multiply
    47,729,935,272x = 66,364,659,870 × 66,364,659,870
  4. Step 4: Simplify right side
    47,729,935,272x = 4,404,268,079,660,788,613,120
  5. Step 5: Solve for x
    x = 4,404,268,079,660,788,613,120/47,729,935,272
  6. Step 6: Final answer
    x = 92,274,754,921.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.