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Finding the Third Proportional to 11,209,630 and 23,313,903

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Solution

The third proportional to 11,209,630 and 23,313,903 is: 48,488,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209,630 : 23,313,903 = 23,313,903 : x
  2. Step 2: Convert to fraction form
    11,209,630/23,313,903 = 23,313,903/x
  3. Step 3: Cross multiply
    11,209,630x = 23,313,903 × 23,313,903
  4. Step 4: Simplify right side
    11,209,630x = 543,538,073,093,409
  5. Step 5: Solve for x
    x = 543,538,073,093,409/11,209,630
  6. Step 6: Final answer
    x = 48,488,493.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.