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Finding the Third Proportional to 37,743,450.75 and 82,552,005

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Solution

The third proportional to 37,743,450.75 and 82,552,005 is: 180,556,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,743,450.75 : 82,552,005 = 82,552,005 : x
  2. Step 2: Convert to fraction form
    37,743,450.75/82,552,005 = 82,552,005/x
  3. Step 3: Cross multiply
    37,743,450.75x = 82,552,005 × 82,552,005
  4. Step 4: Simplify right side
    37,743,450.75x = 6,814,833,529,520,025
  5. Step 5: Solve for x
    x = 6,814,833,529,520,025/37,743,450.75
  6. Step 6: Final answer
    x = 180,556,716.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.