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Finding the Third Proportional to 9,451,826 and 20,733,766

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Solution

The third proportional to 9,451,826 and 20,733,766 is: 45,482,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451,826 : 20,733,766 = 20,733,766 : x
  2. Step 2: Convert to fraction form
    9,451,826/20,733,766 = 20,733,766/x
  3. Step 3: Cross multiply
    9,451,826x = 20,733,766 × 20,733,766
  4. Step 4: Simplify right side
    9,451,826x = 429,889,052,542,756
  5. Step 5: Solve for x
    x = 429,889,052,542,756/9,451,826
  6. Step 6: Final answer
    x = 45,482,116.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.