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Finding the Third Proportional to 773,194,986,702 and 1,568,436,670,434

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Solution

The third proportional to 773,194,986,702 and 1,568,436,670,434 is: 3,181,595,369,177.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,194,986,702 : 1,568,436,670,434 = 1,568,436,670,434 : x
  2. Step 2: Convert to fraction form
    773,194,986,702/1,568,436,670,434 = 1,568,436,670,434/x
  3. Step 3: Cross multiply
    773,194,986,702x = 1,568,436,670,434 × 1,568,436,670,434
  4. Step 4: Simplify right side
    773,194,986,702x = 2,459,993,589,162,091,755,864,064
  5. Step 5: Solve for x
    x = 2,459,993,589,162,091,755,864,064/773,194,986,702
  6. Step 6: Final answer
    x = 3,181,595,369,177.18

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