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Finding the Third Proportional to 8,289,227 and 17,838,166

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Solution

The third proportional to 8,289,227 and 17,838,166 is: 38,387,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289,227 : 17,838,166 = 17,838,166 : x
  2. Step 2: Convert to fraction form
    8,289,227/17,838,166 = 17,838,166/x
  3. Step 3: Cross multiply
    8,289,227x = 17,838,166 × 17,838,166
  4. Step 4: Simplify right side
    8,289,227x = 318,200,166,243,556
  5. Step 5: Solve for x
    x = 318,200,166,243,556/8,289,227
  6. Step 6: Final answer
    x = 38,387,194.15

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Why These Related Problems?

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