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Finding the Third Proportional to 31,903,517,244 and 69,811,101,864

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Solution

The third proportional to 31,903,517,244 and 69,811,101,864 is: 152,760,271,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903,517,244 : 69,811,101,864 = 69,811,101,864 : x
  2. Step 2: Convert to fraction form
    31,903,517,244/69,811,101,864 = 69,811,101,864/x
  3. Step 3: Cross multiply
    31,903,517,244x = 69,811,101,864 × 69,811,101,864
  4. Step 4: Simplify right side
    31,903,517,244x = 4,873,589,943,465,783,853,056
  5. Step 5: Solve for x
    x = 4,873,589,943,465,783,853,056/31,903,517,244
  6. Step 6: Final answer
    x = 152,760,271,107.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.