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Finding the Third Proportional to 9,822,910 and 20,663,825

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Solution

The third proportional to 9,822,910 and 20,663,825 is: 43,469,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822,910 : 20,663,825 = 20,663,825 : x
  2. Step 2: Convert to fraction form
    9,822,910/20,663,825 = 20,663,825/x
  3. Step 3: Cross multiply
    9,822,910x = 20,663,825 × 20,663,825
  4. Step 4: Simplify right side
    9,822,910x = 426,993,663,630,625
  5. Step 5: Solve for x
    x = 426,993,663,630,625/9,822,910
  6. Step 6: Final answer
    x = 43,469,161.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.