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Finding the Third Proportional to 49,957,007,427 and 109,068,523,864

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Solution

The third proportional to 49,957,007,427 and 109,068,523,864 is: 238,123,608,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,957,007,427 : 109,068,523,864 = 109,068,523,864 : x
  2. Step 2: Convert to fraction form
    49,957,007,427/109,068,523,864 = 109,068,523,864/x
  3. Step 3: Cross multiply
    49,957,007,427x = 109,068,523,864 × 109,068,523,864
  4. Step 4: Simplify right side
    49,957,007,427x = 11,895,942,897,871,936,815,104
  5. Step 5: Solve for x
    x = 11,895,942,897,871,936,815,104/49,957,007,427
  6. Step 6: Final answer
    x = 238,123,608,890.20

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