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Finding the Third Proportional to 2,049,670,906,713 and 4,268,991,863,766

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Solution

The third proportional to 2,049,670,906,713 and 4,268,991,863,766 is: 8,891,325,662,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,670,906,713 : 4,268,991,863,766 = 4,268,991,863,766 : x
  2. Step 2: Convert to fraction form
    2,049,670,906,713/4,268,991,863,766 = 4,268,991,863,766/x
  3. Step 3: Cross multiply
    2,049,670,906,713x = 4,268,991,863,766 × 4,268,991,863,766
  4. Step 4: Simplify right side
    2,049,670,906,713x = 18,224,291,532,900,305,387,651,072
  5. Step 5: Solve for x
    x = 18,224,291,532,900,305,387,651,072/2,049,670,906,713
  6. Step 6: Final answer
    x = 8,891,325,662,677.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.