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Finding the Third Proportional to 159,420,396,774 and 351,335,747,661

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Solution

The third proportional to 159,420,396,774 and 351,335,747,661 is: 774,284,910,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,420,396,774 : 351,335,747,661 = 351,335,747,661 : x
  2. Step 2: Convert to fraction form
    159,420,396,774/351,335,747,661 = 351,335,747,661/x
  3. Step 3: Cross multiply
    159,420,396,774x = 351,335,747,661 × 351,335,747,661
  4. Step 4: Simplify right side
    159,420,396,774x = 123,436,807,584,513,861,353,472
  5. Step 5: Solve for x
    x = 123,436,807,584,513,861,353,472/159,420,396,774
  6. Step 6: Final answer
    x = 774,284,910,101.57

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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.