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Finding the Third Proportional to 13,286,149.50 and 21,694,923

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Solution

The third proportional to 13,286,149.50 and 21,694,923 is: 35,425,589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286,149.50 : 21,694,923 = 21,694,923 : x
  2. Step 2: Convert to fraction form
    13,286,149.50/21,694,923 = 21,694,923/x
  3. Step 3: Cross multiply
    13,286,149.50x = 21,694,923 × 21,694,923
  4. Step 4: Simplify right side
    13,286,149.50x = 470,669,683,975,929
  5. Step 5: Solve for x
    x = 470,669,683,975,929/13,286,149.50
  6. Step 6: Final answer
    x = 35,425,589.93

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.