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Finding the Third Proportional to 17,797,314,898 and 24,236,905,100

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Solution

The third proportional to 17,797,314,898 and 24,236,905,100 is: 33,006,527,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797,314,898 : 24,236,905,100 = 24,236,905,100 : x
  2. Step 2: Convert to fraction form
    17,797,314,898/24,236,905,100 = 24,236,905,100/x
  3. Step 3: Cross multiply
    17,797,314,898x = 24,236,905,100 × 24,236,905,100
  4. Step 4: Simplify right side
    17,797,314,898x = 587,427,568,826,406,010,880
  5. Step 5: Solve for x
    x = 587,427,568,826,406,010,880/17,797,314,898
  6. Step 6: Final answer
    x = 33,006,527,793.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.