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Finding the Third Proportional to 981,228,863 and 2,153,110,098

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Solution

The third proportional to 981,228,863 and 2,153,110,098 is: 4,724,568,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,228,863 : 2,153,110,098 = 2,153,110,098 : x
  2. Step 2: Convert to fraction form
    981,228,863/2,153,110,098 = 2,153,110,098/x
  3. Step 3: Cross multiply
    981,228,863x = 2,153,110,098 × 2,153,110,098
  4. Step 4: Simplify right side
    981,228,863x = 4,635,883,094,109,570,048
  5. Step 5: Solve for x
    x = 4,635,883,094,109,570,048/981,228,863
  6. Step 6: Final answer
    x = 4,724,568,618.92

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Why These Related Problems?

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