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Finding the Third Proportional to 6,089,393 and 12,682,569

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Solution

The third proportional to 6,089,393 and 12,682,569 is: 26,414,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089,393 : 12,682,569 = 12,682,569 : x
  2. Step 2: Convert to fraction form
    6,089,393/12,682,569 = 12,682,569/x
  3. Step 3: Cross multiply
    6,089,393x = 12,682,569 × 12,682,569
  4. Step 4: Simplify right side
    6,089,393x = 160,847,556,439,761
  5. Step 5: Solve for x
    x = 160,847,556,439,761/6,089,393
  6. Step 6: Final answer
    x = 26,414,382.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.