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Finding the Third Proportional to 981,861,329 and 2,181,646,597

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Solution

The third proportional to 981,861,329 and 2,181,646,597 is: 4,847,509,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,861,329 : 2,181,646,597 = 2,181,646,597 : x
  2. Step 2: Convert to fraction form
    981,861,329/2,181,646,597 = 2,181,646,597/x
  3. Step 3: Cross multiply
    981,861,329x = 2,181,646,597 × 2,181,646,597
  4. Step 4: Simplify right side
    981,861,329x = 4,759,581,874,201,680,896
  5. Step 5: Solve for x
    x = 4,759,581,874,201,680,896/981,861,329
  6. Step 6: Final answer
    x = 4,847,509,249.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.