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Finding the Third Proportional to 11,632,900 and 17,764,278

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Solution

The third proportional to 11,632,900 and 17,764,278 is: 27,127,334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632,900 : 17,764,278 = 17,764,278 : x
  2. Step 2: Convert to fraction form
    11,632,900/17,764,278 = 17,764,278/x
  3. Step 3: Cross multiply
    11,632,900x = 17,764,278 × 17,764,278
  4. Step 4: Simplify right side
    11,632,900x = 315,569,572,861,284
  5. Step 5: Solve for x
    x = 315,569,572,861,284/11,632,900
  6. Step 6: Final answer
    x = 27,127,334.79

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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.