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Finding the Third Proportional to 17,682,198 and 39,080,784

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Solution

The third proportional to 17,682,198 and 39,080,784 is: 86,375,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682,198 : 39,080,784 = 39,080,784 : x
  2. Step 2: Convert to fraction form
    17,682,198/39,080,784 = 39,080,784/x
  3. Step 3: Cross multiply
    17,682,198x = 39,080,784 × 39,080,784
  4. Step 4: Simplify right side
    17,682,198x = 1,527,307,678,054,656
  5. Step 5: Solve for x
    x = 1,527,307,678,054,656/17,682,198
  6. Step 6: Final answer
    x = 86,375,442.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.