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Finding the Third Proportional to 5,408,271 and 10,965,906

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Solution

The third proportional to 5,408,271 and 10,965,906 is: 22,234,665.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408,271 : 10,965,906 = 10,965,906 : x
  2. Step 2: Convert to fraction form
    5,408,271/10,965,906 = 10,965,906/x
  3. Step 3: Cross multiply
    5,408,271x = 10,965,906 × 10,965,906
  4. Step 4: Simplify right side
    5,408,271x = 120,251,094,400,836
  5. Step 5: Solve for x
    x = 120,251,094,400,836/5,408,271
  6. Step 6: Final answer
    x = 22,234,665.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.