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Finding the Third Proportional to 37,246,848 and 81,419,520

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Solution

The third proportional to 37,246,848 and 81,419,520 is: 177,978,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,246,848 : 81,419,520 = 81,419,520 : x
  2. Step 2: Convert to fraction form
    37,246,848/81,419,520 = 81,419,520/x
  3. Step 3: Cross multiply
    37,246,848x = 81,419,520 × 81,419,520
  4. Step 4: Simplify right side
    37,246,848x = 6,629,138,237,030,400
  5. Step 5: Solve for x
    x = 6,629,138,237,030,400/37,246,848
  6. Step 6: Final answer
    x = 177,978,502.69

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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.