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Finding the Third Proportional to 5,322,105 and 8,339,213.25

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Solution

The third proportional to 5,322,105 and 8,339,213.25 is: 13,066,724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322,105 : 8,339,213.25 = 8,339,213.25 : x
  2. Step 2: Convert to fraction form
    5,322,105/8,339,213.25 = 8,339,213.25/x
  3. Step 3: Cross multiply
    5,322,105x = 8,339,213.25 × 8,339,213.25
  4. Step 4: Simplify right side
    5,322,105x = 69,542,477,628,975.56
  5. Step 5: Solve for x
    x = 69,542,477,628,975.56/5,322,105
  6. Step 6: Final answer
    x = 13,066,724.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.