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Finding the Third Proportional to 9,920,584.50 and 20,239,734.75

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Solution

The third proportional to 9,920,584.50 and 20,239,734.75 is: 41,292,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920,584.50 : 20,239,734.75 = 20,239,734.75 : x
  2. Step 2: Convert to fraction form
    9,920,584.50/20,239,734.75 = 20,239,734.75/x
  3. Step 3: Cross multiply
    9,920,584.50x = 20,239,734.75 × 20,239,734.75
  4. Step 4: Simplify right side
    9,920,584.50x = 409,646,862,750,357.56
  5. Step 5: Solve for x
    x = 409,646,862,750,357.56/9,920,584.50
  6. Step 6: Final answer
    x = 41,292,613.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.