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Finding the Third Proportional to 159,420,405,561 and 351,335,767,788

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Solution

The third proportional to 159,420,405,561 and 351,335,767,788 is: 774,284,956,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,420,405,561 : 351,335,767,788 = 351,335,767,788 : x
  2. Step 2: Convert to fraction form
    159,420,405,561/351,335,767,788 = 351,335,767,788/x
  3. Step 3: Cross multiply
    159,420,405,561x = 351,335,767,788 × 351,335,767,788
  4. Step 4: Simplify right side
    159,420,405,561x = 123,436,821,727,183,466,659,840
  5. Step 5: Solve for x
    x = 123,436,821,727,183,466,659,840/159,420,405,561
  6. Step 6: Final answer
    x = 774,284,956,137.26

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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.