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Finding the Third Proportional to 3,419,095.50 and 7,295,823

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Solution

The third proportional to 3,419,095.50 and 7,295,823 is: 15,568,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419,095.50 : 7,295,823 = 7,295,823 : x
  2. Step 2: Convert to fraction form
    3,419,095.50/7,295,823 = 7,295,823/x
  3. Step 3: Cross multiply
    3,419,095.50x = 7,295,823 × 7,295,823
  4. Step 4: Simplify right side
    3,419,095.50x = 53,229,033,247,329
  5. Step 5: Solve for x
    x = 53,229,033,247,329/3,419,095.50
  6. Step 6: Final answer
    x = 15,568,162.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.