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Finding the Third Proportional to 67,526,942,984 and 143,787,469,264

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Solution

The third proportional to 67,526,942,984 and 143,787,469,264 is: 306,171,661,321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,526,942,984 : 143,787,469,264 = 143,787,469,264 : x
  2. Step 2: Convert to fraction form
    67,526,942,984/143,787,469,264 = 143,787,469,264/x
  3. Step 3: Cross multiply
    67,526,942,984x = 143,787,469,264 × 143,787,469,264
  4. Step 4: Simplify right side
    67,526,942,984x = 20,674,836,317,345,746,518,016
  5. Step 5: Solve for x
    x = 20,674,836,317,345,746,518,016/67,526,942,984
  6. Step 6: Final answer
    x = 306,171,661,321.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.