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Finding the Third Proportional to 3,826,089,522,728 and 8,432,057,944,192

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Solution

The third proportional to 3,826,089,522,728 and 8,432,057,944,192 is: 18,582,837,843,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,089,522,728 : 8,432,057,944,192 = 8,432,057,944,192 : x
  2. Step 2: Convert to fraction form
    3,826,089,522,728/8,432,057,944,192 = 8,432,057,944,192/x
  3. Step 3: Cross multiply
    3,826,089,522,728x = 8,432,057,944,192 × 8,432,057,944,192
  4. Step 4: Simplify right side
    3,826,089,522,728x = 71,099,601,174,211,420,980,510,720
  5. Step 5: Solve for x
    x = 71,099,601,174,211,420,980,510,720/3,826,089,522,728
  6. Step 6: Final answer
    x = 18,582,837,843,145.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.