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Finding the Third Proportional to 11,491,756,980.75 and 16,175,874,340.88

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Solution

The third proportional to 11,491,756,980.75 and 16,175,874,340.88 is: 22,769,269,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491,756,980.75 : 16,175,874,340.88 = 16,175,874,340.88 : x
  2. Step 2: Convert to fraction form
    11,491,756,980.75/16,175,874,340.88 = 16,175,874,340.88/x
  3. Step 3: Cross multiply
    11,491,756,980.75x = 16,175,874,340.88 × 16,175,874,340.88
  4. Step 4: Simplify right side
    11,491,756,980.75x = 261,658,910,691,778,199,552
  5. Step 5: Solve for x
    x = 261,658,910,691,778,199,552/11,491,756,980.75
  6. Step 6: Final answer
    x = 22,769,269,410.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.