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Finding the Third Proportional to 2,680,652,092.78 and 5,843,972,382.19

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Solution

The third proportional to 2,680,652,092.78 and 5,843,972,382.19 is: 12,740,188,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680,652,092.78 : 5,843,972,382.19 = 5,843,972,382.19 : x
  2. Step 2: Convert to fraction form
    2,680,652,092.78/5,843,972,382.19 = 5,843,972,382.19/x
  3. Step 3: Cross multiply
    2,680,652,092.78x = 5,843,972,382.19 × 5,843,972,382.19
  4. Step 4: Simplify right side
    2,680,652,092.78x = 34,152,013,203,770,245,120
  5. Step 5: Solve for x
    x = 34,152,013,203,770,245,120/2,680,652,092.78
  6. Step 6: Final answer
    x = 12,740,188,589.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.