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Finding the Third Proportional to 6,015,379,096 and 9,195,964,836

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Solution

The third proportional to 6,015,379,096 and 9,195,964,836 is: 14,058,260,986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,015,379,096 : 9,195,964,836 = 9,195,964,836 : x
  2. Step 2: Convert to fraction form
    6,015,379,096/9,195,964,836 = 9,195,964,836/x
  3. Step 3: Cross multiply
    6,015,379,096x = 9,195,964,836 × 9,195,964,836
  4. Step 4: Simplify right side
    6,015,379,096x = 84,565,769,264,948,510,720
  5. Step 5: Solve for x
    x = 84,565,769,264,948,510,720/6,015,379,096
  6. Step 6: Final answer
    x = 14,058,260,986.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.