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Finding the Third Proportional to 918,789,869 and 1,412,245,870

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Solution

The third proportional to 918,789,869 and 1,412,245,870 is: 2,170,723,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,789,869 : 1,412,245,870 = 1,412,245,870 : x
  2. Step 2: Convert to fraction form
    918,789,869/1,412,245,870 = 1,412,245,870/x
  3. Step 3: Cross multiply
    918,789,869x = 1,412,245,870 × 1,412,245,870
  4. Step 4: Simplify right side
    918,789,869x = 1,994,438,397,332,056,832
  5. Step 5: Solve for x
    x = 1,994,438,397,332,056,832/918,789,869
  6. Step 6: Final answer
    x = 2,170,723,105.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.