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Finding the Third Proportional to 773,194,986,703 and 1,568,436,670,436

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Solution

The third proportional to 773,194,986,703 and 1,568,436,670,436 is: 3,181,595,369,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,194,986,703 : 1,568,436,670,436 = 1,568,436,670,436 : x
  2. Step 2: Convert to fraction form
    773,194,986,703/1,568,436,670,436 = 1,568,436,670,436/x
  3. Step 3: Cross multiply
    773,194,986,703x = 1,568,436,670,436 × 1,568,436,670,436
  4. Step 4: Simplify right side
    773,194,986,703x = 2,459,993,589,168,365,629,341,696
  5. Step 5: Solve for x
    x = 2,459,993,589,168,365,629,341,696/773,194,986,703
  6. Step 6: Final answer
    x = 3,181,595,369,181.18

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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.