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Finding the Third Proportional to 159,420,405,389 and 351,335,767,441

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Solution

The third proportional to 159,420,405,389 and 351,335,767,441 is: 774,284,955,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,420,405,389 : 351,335,767,441 = 351,335,767,441 : x
  2. Step 2: Convert to fraction form
    159,420,405,389/351,335,767,441 = 351,335,767,441/x
  3. Step 3: Cross multiply
    159,420,405,389x = 351,335,767,441 × 351,335,767,441
  4. Step 4: Simplify right side
    159,420,405,389x = 123,436,821,483,356,428,435,456
  5. Step 5: Solve for x
    x = 123,436,821,483,356,428,435,456/159,420,405,389
  6. Step 6: Final answer
    x = 774,284,955,443.19

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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.