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Finding the Third Proportional to 4,046,564 and 8,467,267

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Solution

The third proportional to 4,046,564 and 8,467,267 is: 17,717,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046,564 : 8,467,267 = 8,467,267 : x
  2. Step 2: Convert to fraction form
    4,046,564/8,467,267 = 8,467,267/x
  3. Step 3: Cross multiply
    4,046,564x = 8,467,267 × 8,467,267
  4. Step 4: Simplify right side
    4,046,564x = 71,694,610,449,289
  5. Step 5: Solve for x
    x = 71,694,610,449,289/4,046,564
  6. Step 6: Final answer
    x = 17,717,404.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.