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Finding the Third Proportional to 10,934,500 and 17,378,286

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Solution

The third proportional to 10,934,500 and 17,378,286 is: 27,619,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934,500 : 17,378,286 = 17,378,286 : x
  2. Step 2: Convert to fraction form
    10,934,500/17,378,286 = 17,378,286/x
  3. Step 3: Cross multiply
    10,934,500x = 17,378,286 × 17,378,286
  4. Step 4: Simplify right side
    10,934,500x = 302,004,824,297,796
  5. Step 5: Solve for x
    x = 302,004,824,297,796/10,934,500
  6. Step 6: Final answer
    x = 27,619,445.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.