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Finding the Third Proportional to 4,645,917 and 10,189,233

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Solution

The third proportional to 4,645,917 and 10,189,233 is: 22,346,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645,917 : 10,189,233 = 10,189,233 : x
  2. Step 2: Convert to fraction form
    4,645,917/10,189,233 = 10,189,233/x
  3. Step 3: Cross multiply
    4,645,917x = 10,189,233 × 10,189,233
  4. Step 4: Simplify right side
    4,645,917x = 103,820,469,128,289
  5. Step 5: Solve for x
    x = 103,820,469,128,289/4,645,917
  6. Step 6: Final answer
    x = 22,346,604.37

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