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Finding the Third Proportional to 8,967,285 and 12,582,873

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Solution

The third proportional to 8,967,285 and 12,582,873 is: 17,656,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967,285 : 12,582,873 = 12,582,873 : x
  2. Step 2: Convert to fraction form
    8,967,285/12,582,873 = 12,582,873/x
  3. Step 3: Cross multiply
    8,967,285x = 12,582,873 × 12,582,873
  4. Step 4: Simplify right side
    8,967,285x = 158,328,692,934,129
  5. Step 5: Solve for x
    x = 158,328,692,934,129/8,967,285
  6. Step 6: Final answer
    x = 17,656,257.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.