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Finding the Third Proportional to 14,079,144 and 33,906,274.50

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Solution

The third proportional to 14,079,144 and 33,906,274.50 is: 81,655,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,079,144 : 33,906,274.50 = 33,906,274.50 : x
  2. Step 2: Convert to fraction form
    14,079,144/33,906,274.50 = 33,906,274.50/x
  3. Step 3: Cross multiply
    14,079,144x = 33,906,274.50 × 33,906,274.50
  4. Step 4: Simplify right side
    14,079,144x = 1,149,635,450,469,350.25
  5. Step 5: Solve for x
    x = 1,149,635,450,469,350.25/14,079,144
  6. Step 6: Final answer
    x = 81,655,209.33

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.