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Finding the Third Proportional to 47,811,688,344 and 71,454,016,503

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Solution

The third proportional to 47,811,688,344 and 71,454,016,503 is: 106,787,203,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,811,688,344 : 71,454,016,503 = 71,454,016,503 : x
  2. Step 2: Convert to fraction form
    47,811,688,344/71,454,016,503 = 71,454,016,503/x
  3. Step 3: Cross multiply
    47,811,688,344x = 71,454,016,503 × 71,454,016,503
  4. Step 4: Simplify right side
    47,811,688,344x = 5,105,676,474,410,996,858,880
  5. Step 5: Solve for x
    x = 5,105,676,474,410,996,858,880/47,811,688,344
  6. Step 6: Final answer
    x = 106,787,203,113.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.