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Finding the Third Proportional to 20,979,176 and 31,661,532

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Solution

The third proportional to 20,979,176 and 31,661,532 is: 47,783,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,979,176 : 31,661,532 = 31,661,532 : x
  2. Step 2: Convert to fraction form
    20,979,176/31,661,532 = 31,661,532/x
  3. Step 3: Cross multiply
    20,979,176x = 31,661,532 × 31,661,532
  4. Step 4: Simplify right side
    20,979,176x = 1,002,452,608,587,024
  5. Step 5: Solve for x
    x = 1,002,452,608,587,024/20,979,176
  6. Step 6: Final answer
    x = 47,783,221.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.