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Finding the Third Proportional to 20,157,274 and 31,024,867

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Solution

The third proportional to 20,157,274 and 31,024,867 is: 47,751,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157,274 : 31,024,867 = 31,024,867 : x
  2. Step 2: Convert to fraction form
    20,157,274/31,024,867 = 31,024,867/x
  3. Step 3: Cross multiply
    20,157,274x = 31,024,867 × 31,024,867
  4. Step 4: Simplify right side
    20,157,274x = 962,542,372,367,689
  5. Step 5: Solve for x
    x = 962,542,372,367,689/20,157,274
  6. Step 6: Final answer
    x = 47,751,614.25

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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.