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Finding the Third Proportional to 9,498,171 and 22,399,329

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Solution

The third proportional to 9,498,171 and 22,399,329 is: 52,823,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498,171 : 22,399,329 = 22,399,329 : x
  2. Step 2: Convert to fraction form
    9,498,171/22,399,329 = 22,399,329/x
  3. Step 3: Cross multiply
    9,498,171x = 22,399,329 × 22,399,329
  4. Step 4: Simplify right side
    9,498,171x = 501,729,939,650,241
  5. Step 5: Solve for x
    x = 501,729,939,650,241/9,498,171
  6. Step 6: Final answer
    x = 52,823,847.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.