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Finding the Third Proportional to 13,884,867 and 20,814,016

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Solution

The third proportional to 13,884,867 and 20,814,016 is: 31,201,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884,867 : 20,814,016 = 20,814,016 : x
  2. Step 2: Convert to fraction form
    13,884,867/20,814,016 = 20,814,016/x
  3. Step 3: Cross multiply
    13,884,867x = 20,814,016 × 20,814,016
  4. Step 4: Simplify right side
    13,884,867x = 433,223,262,048,256
  5. Step 5: Solve for x
    x = 433,223,262,048,256/13,884,867
  6. Step 6: Final answer
    x = 31,201,109.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.