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Finding the Third Proportional to 37,246,838 and 81,419,500

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Solution

The third proportional to 37,246,838 and 81,419,500 is: 177,978,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,246,838 : 81,419,500 = 81,419,500 : x
  2. Step 2: Convert to fraction form
    37,246,838/81,419,500 = 81,419,500/x
  3. Step 3: Cross multiply
    37,246,838x = 81,419,500 × 81,419,500
  4. Step 4: Simplify right side
    37,246,838x = 6,629,134,980,250,000
  5. Step 5: Solve for x
    x = 6,629,134,980,250,000/37,246,838
  6. Step 6: Final answer
    x = 177,978,463.04

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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.