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Finding the Third Proportional to 7,202,909 and 10,987,296

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Solution

The third proportional to 7,202,909 and 10,987,296 is: 16,759,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202,909 : 10,987,296 = 10,987,296 : x
  2. Step 2: Convert to fraction form
    7,202,909/10,987,296 = 10,987,296/x
  3. Step 3: Cross multiply
    7,202,909x = 10,987,296 × 10,987,296
  4. Step 4: Simplify right side
    7,202,909x = 120,720,673,391,616
  5. Step 5: Solve for x
    x = 120,720,673,391,616/7,202,909
  6. Step 6: Final answer
    x = 16,759,988.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.