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Finding the Third Proportional to 47,811,688,342 and 71,454,016,500

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Solution

The third proportional to 47,811,688,342 and 71,454,016,500 is: 106,787,203,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,811,688,342 : 71,454,016,500 = 71,454,016,500 : x
  2. Step 2: Convert to fraction form
    47,811,688,342/71,454,016,500 = 71,454,016,500/x
  3. Step 3: Cross multiply
    47,811,688,342x = 71,454,016,500 × 71,454,016,500
  4. Step 4: Simplify right side
    47,811,688,342x = 5,105,676,473,982,271,881,216
  5. Step 5: Solve for x
    x = 5,105,676,473,982,271,881,216/47,811,688,342
  6. Step 6: Final answer
    x = 106,787,203,109.44

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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.