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Finding the Third Proportional to 37,175,770.50 and 80,527,627.50

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Solution

The third proportional to 37,175,770.50 and 80,527,627.50 is: 174,433,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,175,770.50 : 80,527,627.50 = 80,527,627.50 : x
  2. Step 2: Convert to fraction form
    37,175,770.50/80,527,627.50 = 80,527,627.50/x
  3. Step 3: Cross multiply
    37,175,770.50x = 80,527,627.50 × 80,527,627.50
  4. Step 4: Simplify right side
    37,175,770.50x = 6,484,698,790,778,756
  5. Step 5: Solve for x
    x = 6,484,698,790,778,756/37,175,770.50
  6. Step 6: Final answer
    x = 174,433,473.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.