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Finding the Third Proportional to 8,242,736 and 17,704,288

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Solution

The third proportional to 8,242,736 and 17,704,288 is: 38,026,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242,736 : 17,704,288 = 17,704,288 : x
  2. Step 2: Convert to fraction form
    8,242,736/17,704,288 = 17,704,288/x
  3. Step 3: Cross multiply
    8,242,736x = 17,704,288 × 17,704,288
  4. Step 4: Simplify right side
    8,242,736x = 313,441,813,586,944
  5. Step 5: Solve for x
    x = 313,441,813,586,944/8,242,736
  6. Step 6: Final answer
    x = 38,026,428.80

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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.