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Finding the Third Proportional to 6,684,530 and 10,183,467

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Solution

The third proportional to 6,684,530 and 10,183,467 is: 15,513,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684,530 : 10,183,467 = 10,183,467 : x
  2. Step 2: Convert to fraction form
    6,684,530/10,183,467 = 10,183,467/x
  3. Step 3: Cross multiply
    6,684,530x = 10,183,467 × 10,183,467
  4. Step 4: Simplify right side
    6,684,530x = 103,703,000,140,089
  5. Step 5: Solve for x
    x = 103,703,000,140,089/6,684,530
  6. Step 6: Final answer
    x = 15,513,880.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.