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Finding the Third Proportional to 20,978,998 and 32,400,177

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Solution

The third proportional to 20,978,998 and 32,400,177 is: 50,039,161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978,998 : 32,400,177 = 32,400,177 : x
  2. Step 2: Convert to fraction form
    20,978,998/32,400,177 = 32,400,177/x
  3. Step 3: Cross multiply
    20,978,998x = 32,400,177 × 32,400,177
  4. Step 4: Simplify right side
    20,978,998x = 1,049,771,469,631,329
  5. Step 5: Solve for x
    x = 1,049,771,469,631,329/20,978,998
  6. Step 6: Final answer
    x = 50,039,161.53

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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.