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Finding the Third Proportional to 37,172,377.50 and 80,521,651.50

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Solution

The third proportional to 37,172,377.50 and 80,521,651.50 is: 174,423,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,172,377.50 : 80,521,651.50 = 80,521,651.50 : x
  2. Step 2: Convert to fraction form
    37,172,377.50/80,521,651.50 = 80,521,651.50/x
  3. Step 3: Cross multiply
    37,172,377.50x = 80,521,651.50 × 80,521,651.50
  4. Step 4: Simplify right side
    37,172,377.50x = 6,483,736,360,287,452
  5. Step 5: Solve for x
    x = 6,483,736,360,287,452/37,172,377.50
  6. Step 6: Final answer
    x = 174,423,504.67

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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.