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Finding the Third Proportional to 7,837,174 and 16,982,192

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Solution

The third proportional to 7,837,174 and 16,982,192 is: 36,798,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837,174 : 16,982,192 = 16,982,192 : x
  2. Step 2: Convert to fraction form
    7,837,174/16,982,192 = 16,982,192/x
  3. Step 3: Cross multiply
    7,837,174x = 16,982,192 × 16,982,192
  4. Step 4: Simplify right side
    7,837,174x = 288,394,845,124,864
  5. Step 5: Solve for x
    x = 288,394,845,124,864/7,837,174
  6. Step 6: Final answer
    x = 36,798,321.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.