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Finding the Third Proportional to 37,999,724 and 81,380,288

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Solution

The third proportional to 37,999,724 and 81,380,288 is: 174,284,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999,724 : 81,380,288 = 81,380,288 : x
  2. Step 2: Convert to fraction form
    37,999,724/81,380,288 = 81,380,288/x
  3. Step 3: Cross multiply
    37,999,724x = 81,380,288 × 81,380,288
  4. Step 4: Simplify right side
    37,999,724x = 6,622,751,274,962,944
  5. Step 5: Solve for x
    x = 6,622,751,274,962,944/37,999,724
  6. Step 6: Final answer
    x = 174,284,194.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.