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Finding the Third Proportional to 17,760,674.25 and 38,262,199.50

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Solution

The third proportional to 17,760,674.25 and 38,262,199.50 is: 82,429,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760,674.25 : 38,262,199.50 = 38,262,199.50 : x
  2. Step 2: Convert to fraction form
    17,760,674.25/38,262,199.50 = 38,262,199.50/x
  3. Step 3: Cross multiply
    17,760,674.25x = 38,262,199.50 × 38,262,199.50
  4. Step 4: Simplify right side
    17,760,674.25x = 1,463,995,910,577,800.25
  5. Step 5: Solve for x
    x = 1,463,995,910,577,800.25/17,760,674.25
  6. Step 6: Final answer
    x = 82,429,072.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.