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Finding the Third Proportional to 5,659,136 and 12,275,279

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Solution

The third proportional to 5,659,136 and 12,275,279 is: 26,626,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659,136 : 12,275,279 = 12,275,279 : x
  2. Step 2: Convert to fraction form
    5,659,136/12,275,279 = 12,275,279/x
  3. Step 3: Cross multiply
    5,659,136x = 12,275,279 × 12,275,279
  4. Step 4: Simplify right side
    5,659,136x = 150,682,474,527,841
  5. Step 5: Solve for x
    x = 150,682,474,527,841/5,659,136
  6. Step 6: Final answer
    x = 26,626,409.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.