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Finding the Third Proportional to 37,999,914.75 and 81,380,659.50

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Solution

The third proportional to 37,999,914.75 and 81,380,659.50 is: 174,284,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999,914.75 : 81,380,659.50 = 81,380,659.50 : x
  2. Step 2: Convert to fraction form
    37,999,914.75/81,380,659.50 = 81,380,659.50/x
  3. Step 3: Cross multiply
    37,999,914.75x = 81,380,659.50 × 81,380,659.50
  4. Step 4: Simplify right side
    37,999,914.75x = 6,622,811,740,654,940
  5. Step 5: Solve for x
    x = 6,622,811,740,654,940/37,999,914.75
  6. Step 6: Final answer
    x = 174,284,910.49

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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.