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Finding the Third Proportional to 1,616,424,959 and 3,491,510,782

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Solution

The third proportional to 1,616,424,959 and 3,491,510,782 is: 7,541,734,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,424,959 : 3,491,510,782 = 3,491,510,782 : x
  2. Step 2: Convert to fraction form
    1,616,424,959/3,491,510,782 = 3,491,510,782/x
  3. Step 3: Cross multiply
    1,616,424,959x = 3,491,510,782 × 3,491,510,782
  4. Step 4: Simplify right side
    1,616,424,959x = 12,190,647,540,822,251,520
  5. Step 5: Solve for x
    x = 12,190,647,540,822,251,520/1,616,424,959
  6. Step 6: Final answer
    x = 7,541,734,290.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.