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Finding the Third Proportional to 1,269,100,757,562 and 2,787,519,777,861

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Solution

The third proportional to 1,269,100,757,562 and 2,787,519,777,861 is: 6,122,655,325,565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,100,757,562 : 2,787,519,777,861 = 2,787,519,777,861 : x
  2. Step 2: Convert to fraction form
    1,269,100,757,562/2,787,519,777,861 = 2,787,519,777,861/x
  3. Step 3: Cross multiply
    1,269,100,757,562x = 2,787,519,777,861 × 2,787,519,777,861
  4. Step 4: Simplify right side
    1,269,100,757,562x = 7,770,266,511,966,238,349,983,744
  5. Step 5: Solve for x
    x = 7,770,266,511,966,238,349,983,744/1,269,100,757,562
  6. Step 6: Final answer
    x = 6,122,655,325,565.54

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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.