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Finding the Third Proportional to 6,089,397.75 and 12,682,578.38

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Solution

The third proportional to 6,089,397.75 and 12,682,578.38 is: 26,414,401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089,397.75 : 12,682,578.38 = 12,682,578.38 : x
  2. Step 2: Convert to fraction form
    6,089,397.75/12,682,578.38 = 12,682,578.38/x
  3. Step 3: Cross multiply
    6,089,397.75x = 12,682,578.38 × 12,682,578.38
  4. Step 4: Simplify right side
    6,089,397.75x = 160,847,794,238,017.62
  5. Step 5: Solve for x
    x = 160,847,794,238,017.62/6,089,397.75
  6. Step 6: Final answer
    x = 26,414,401.04

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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.