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Finding the Third Proportional to 36,523,938 and 80,352,574.50

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Solution

The third proportional to 36,523,938 and 80,352,574.50 is: 176,775,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,523,938 : 80,352,574.50 = 80,352,574.50 : x
  2. Step 2: Convert to fraction form
    36,523,938/80,352,574.50 = 80,352,574.50/x
  3. Step 3: Cross multiply
    36,523,938x = 80,352,574.50 × 80,352,574.50
  4. Step 4: Simplify right side
    36,523,938x = 6,456,536,228,778,050
  5. Step 5: Solve for x
    x = 6,456,536,228,778,050/36,523,938
  6. Step 6: Final answer
    x = 176,775,467.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.