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Finding the Third Proportional to 47,811,688,346 and 71,454,016,506

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Solution

The third proportional to 47,811,688,346 and 71,454,016,506 is: 106,787,203,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,811,688,346 : 71,454,016,506 = 71,454,016,506 : x
  2. Step 2: Convert to fraction form
    47,811,688,346/71,454,016,506 = 71,454,016,506/x
  3. Step 3: Cross multiply
    47,811,688,346x = 71,454,016,506 × 71,454,016,506
  4. Step 4: Simplify right side
    47,811,688,346x = 5,105,676,474,839,720,787,968
  5. Step 5: Solve for x
    x = 5,105,676,474,839,720,787,968/47,811,688,346
  6. Step 6: Final answer
    x = 106,787,203,118.44

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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.