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Finding the Third Proportional to 8,029,728 and 17,320,320

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Solution

The third proportional to 8,029,728 and 17,320,320 is: 37,360,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029,728 : 17,320,320 = 17,320,320 : x
  2. Step 2: Convert to fraction form
    8,029,728/17,320,320 = 17,320,320/x
  3. Step 3: Cross multiply
    8,029,728x = 17,320,320 × 17,320,320
  4. Step 4: Simplify right side
    8,029,728x = 299,993,484,902,400
  5. Step 5: Solve for x
    x = 299,993,484,902,400/8,029,728
  6. Step 6: Final answer
    x = 37,360,354.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.