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Finding the Third Proportional to 33,527,212.50 and 51,265,249.50

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Solution

The third proportional to 33,527,212.50 and 51,265,249.50 is: 78,387,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,527,212.50 : 51,265,249.50 = 51,265,249.50 : x
  2. Step 2: Convert to fraction form
    33,527,212.50/51,265,249.50 = 51,265,249.50/x
  3. Step 3: Cross multiply
    33,527,212.50x = 51,265,249.50 × 51,265,249.50
  4. Step 4: Simplify right side
    33,527,212.50x = 2,628,125,806,297,250
  5. Step 5: Solve for x
    x = 2,628,125,806,297,250/33,527,212.50
  6. Step 6: Final answer
    x = 78,387,841.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.