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Finding the Third Proportional to 2,527,110 and 5,965,647

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Solution

The third proportional to 2,527,110 and 5,965,647 is: 14,082,863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527,110 : 5,965,647 = 5,965,647 : x
  2. Step 2: Convert to fraction form
    2,527,110/5,965,647 = 5,965,647/x
  3. Step 3: Cross multiply
    2,527,110x = 5,965,647 × 5,965,647
  4. Step 4: Simplify right side
    2,527,110x = 35,588,944,128,609
  5. Step 5: Solve for x
    x = 35,588,944,128,609/2,527,110
  6. Step 6: Final answer
    x = 14,082,863.08

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.