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Finding the Third Proportional to 773,194,986,676 and 1,568,436,670,368

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Solution

The third proportional to 773,194,986,676 and 1,568,436,670,368 is: 3,181,595,369,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,194,986,676 : 1,568,436,670,368 = 1,568,436,670,368 : x
  2. Step 2: Convert to fraction form
    773,194,986,676/1,568,436,670,368 = 1,568,436,670,368/x
  3. Step 3: Cross multiply
    773,194,986,676x = 1,568,436,670,368 × 1,568,436,670,368
  4. Step 4: Simplify right side
    773,194,986,676x = 2,459,993,588,955,058,226,069,504
  5. Step 5: Solve for x
    x = 2,459,993,588,955,058,226,069,504/773,194,986,676
  6. Step 6: Final answer
    x = 3,181,595,369,016.40

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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.