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Finding the Third Proportional to 801,160,770 and 1,708,143,864

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Solution

The third proportional to 801,160,770 and 1,708,143,864 is: 3,641,910,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,160,770 : 1,708,143,864 = 1,708,143,864 : x
  2. Step 2: Convert to fraction form
    801,160,770/1,708,143,864 = 1,708,143,864/x
  3. Step 3: Cross multiply
    801,160,770x = 1,708,143,864 × 1,708,143,864
  4. Step 4: Simplify right side
    801,160,770x = 2,917,755,460,120,850,432
  5. Step 5: Solve for x
    x = 2,917,755,460,120,850,432/801,160,770
  6. Step 6: Final answer
    x = 3,641,910,050.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.