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Finding the Third Proportional to 5,545,396,652 and 12,330,664,836

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Solution

The third proportional to 5,545,396,652 and 12,330,664,836 is: 27,418,290,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545,396,652 : 12,330,664,836 = 12,330,664,836 : x
  2. Step 2: Convert to fraction form
    5,545,396,652/12,330,664,836 = 12,330,664,836/x
  3. Step 3: Cross multiply
    5,545,396,652x = 12,330,664,836 × 12,330,664,836
  4. Step 4: Simplify right side
    5,545,396,652x = 152,045,295,297,766,916,096
  5. Step 5: Solve for x
    x = 152,045,295,297,766,916,096/5,545,396,652
  6. Step 6: Final answer
    x = 27,418,290,311.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.