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Finding the Third Proportional to 13,959,596 and 20,954,165

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Solution

The third proportional to 13,959,596 and 20,954,165 is: 31,453,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959,596 : 20,954,165 = 20,954,165 : x
  2. Step 2: Convert to fraction form
    13,959,596/20,954,165 = 20,954,165/x
  3. Step 3: Cross multiply
    13,959,596x = 20,954,165 × 20,954,165
  4. Step 4: Simplify right side
    13,959,596x = 439,077,030,847,225
  5. Step 5: Solve for x
    x = 439,077,030,847,225/13,959,596
  6. Step 6: Final answer
    x = 31,453,419.63

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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.