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Finding the Third Proportional to 7,679,285 and 16,498,233

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Solution

The third proportional to 7,679,285 and 16,498,233 is: 35,444,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679,285 : 16,498,233 = 16,498,233 : x
  2. Step 2: Convert to fraction form
    7,679,285/16,498,233 = 16,498,233/x
  3. Step 3: Cross multiply
    7,679,285x = 16,498,233 × 16,498,233
  4. Step 4: Simplify right side
    7,679,285x = 272,191,692,122,289
  5. Step 5: Solve for x
    x = 272,191,692,122,289/7,679,285
  6. Step 6: Final answer
    x = 35,444,926.46

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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.