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Finding the Third Proportional to 159,420,396,780 and 351,335,747,674

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Solution

The third proportional to 159,420,396,780 and 351,335,747,674 is: 774,284,910,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,420,396,780 : 351,335,747,674 = 351,335,747,674 : x
  2. Step 2: Convert to fraction form
    159,420,396,780/351,335,747,674 = 351,335,747,674/x
  3. Step 3: Cross multiply
    159,420,396,780x = 351,335,747,674 × 351,335,747,674
  4. Step 4: Simplify right side
    159,420,396,780x = 123,436,807,593,648,602,480,640
  5. Step 5: Solve for x
    x = 123,436,807,593,648,602,480,640/159,420,396,780
  6. Step 6: Final answer
    x = 774,284,910,129.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.