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Finding the Third Proportional to 37,844,530.50 and 82,853,668.50

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Solution

The third proportional to 37,844,530.50 and 82,853,668.50 is: 181,392,932.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,844,530.50 : 82,853,668.50 = 82,853,668.50 : x
  2. Step 2: Convert to fraction form
    37,844,530.50/82,853,668.50 = 82,853,668.50/x
  3. Step 3: Cross multiply
    37,844,530.50x = 82,853,668.50 × 82,853,668.50
  4. Step 4: Simplify right side
    37,844,530.50x = 6,864,730,383,907,892
  5. Step 5: Solve for x
    x = 6,864,730,383,907,892/37,844,530.50
  6. Step 6: Final answer
    x = 181,392,932.96

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