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Finding the Third Proportional to 47,729,935,288 and 66,364,659,892

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Solution

The third proportional to 47,729,935,288 and 66,364,659,892 is: 92,274,754,952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,729,935,288 : 66,364,659,892 = 66,364,659,892 : x
  2. Step 2: Convert to fraction form
    47,729,935,288/66,364,659,892 = 66,364,659,892/x
  3. Step 3: Cross multiply
    47,729,935,288x = 66,364,659,892 × 66,364,659,892
  4. Step 4: Simplify right side
    47,729,935,288x = 4,404,268,082,580,833,697,792
  5. Step 5: Solve for x
    x = 4,404,268,082,580,833,697,792/47,729,935,288
  6. Step 6: Final answer
    x = 92,274,754,952.12

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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.