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Finding the Third Proportional to 773,194,986,744 and 1,568,436,670,512

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Solution

The third proportional to 773,194,986,744 and 1,568,436,670,512 is: 3,181,595,369,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,194,986,744 : 1,568,436,670,512 = 1,568,436,670,512 : x
  2. Step 2: Convert to fraction form
    773,194,986,744/1,568,436,670,512 = 1,568,436,670,512/x
  3. Step 3: Cross multiply
    773,194,986,744x = 1,568,436,670,512 × 1,568,436,670,512
  4. Step 4: Simplify right side
    773,194,986,744x = 2,459,993,589,406,767,989,653,504
  5. Step 5: Solve for x
    x = 2,459,993,589,406,767,989,653,504/773,194,986,744
  6. Step 6: Final answer
    x = 3,181,595,369,320.80

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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.