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Finding the Third Proportional to 2,650,141,821 and 5,741,949,990

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Solution

The third proportional to 2,650,141,821 and 5,741,949,990 is: 12,440,839,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650,141,821 : 5,741,949,990 = 5,741,949,990 : x
  2. Step 2: Convert to fraction form
    2,650,141,821/5,741,949,990 = 5,741,949,990/x
  3. Step 3: Cross multiply
    2,650,141,821x = 5,741,949,990 × 5,741,949,990
  4. Step 4: Simplify right side
    2,650,141,821x = 32,969,989,687,660,998,656
  5. Step 5: Solve for x
    x = 32,969,989,687,660,998,656/2,650,141,821
  6. Step 6: Final answer
    x = 12,440,839,741.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.