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Finding the Third Proportional to 773,194,986,704 and 1,568,436,670,438

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Solution

The third proportional to 773,194,986,704 and 1,568,436,670,438 is: 3,181,595,369,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,194,986,704 : 1,568,436,670,438 = 1,568,436,670,438 : x
  2. Step 2: Convert to fraction form
    773,194,986,704/1,568,436,670,438 = 1,568,436,670,438/x
  3. Step 3: Cross multiply
    773,194,986,704x = 1,568,436,670,438 × 1,568,436,670,438
  4. Step 4: Simplify right side
    773,194,986,704x = 2,459,993,589,174,639,502,819,328
  5. Step 5: Solve for x
    x = 2,459,993,589,174,639,502,819,328/773,194,986,704
  6. Step 6: Final answer
    x = 3,181,595,369,185.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.