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Finding the Third Proportional to 981,906,574.50 and 1,471,423,531

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Solution

The third proportional to 981,906,574.50 and 1,471,423,531 is: 2,204,982,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,906,574.50 : 1,471,423,531 = 1,471,423,531 : x
  2. Step 2: Convert to fraction form
    981,906,574.50/1,471,423,531 = 1,471,423,531/x
  3. Step 3: Cross multiply
    981,906,574.50x = 1,471,423,531 × 1,471,423,531
  4. Step 4: Simplify right side
    981,906,574.50x = 2,165,087,207,580,507,904
  5. Step 5: Solve for x
    x = 2,165,087,207,580,507,904/981,906,574.50
  6. Step 6: Final answer
    x = 2,204,982,901.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.