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Finding the Third Proportional to 21,534,039 and 33,099,375.09

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Solution

The third proportional to 21,534,039 and 33,099,375.09 is: 50,876,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534,039 : 33,099,375.09 = 33,099,375.09 : x
  2. Step 2: Convert to fraction form
    21,534,039/33,099,375.09 = 33,099,375.09/x
  3. Step 3: Cross multiply
    21,534,039x = 33,099,375.09 × 33,099,375.09
  4. Step 4: Simplify right side
    21,534,039x = 1,095,568,631,596,757.88
  5. Step 5: Solve for x
    x = 1,095,568,631,596,757.88/21,534,039
  6. Step 6: Final answer
    x = 50,876,132.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.