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Finding the Third Proportional to 10,954,316 and 17,028,847

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Solution

The third proportional to 10,954,316 and 17,028,847 is: 26,471,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954,316 : 17,028,847 = 17,028,847 : x
  2. Step 2: Convert to fraction form
    10,954,316/17,028,847 = 17,028,847/x
  3. Step 3: Cross multiply
    10,954,316x = 17,028,847 × 17,028,847
  4. Step 4: Simplify right side
    10,954,316x = 289,981,630,149,409
  5. Step 5: Solve for x
    x = 289,981,630,149,409/10,954,316
  6. Step 6: Final answer
    x = 26,471,906.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.