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Finding the Third Proportional to 10,954,314 and 17,028,843.75

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Solution

The third proportional to 10,954,314 and 17,028,843.75 is: 26,471,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954,314 : 17,028,843.75 = 17,028,843.75 : x
  2. Step 2: Convert to fraction form
    10,954,314/17,028,843.75 = 17,028,843.75/x
  3. Step 3: Cross multiply
    10,954,314x = 17,028,843.75 × 17,028,843.75
  4. Step 4: Simplify right side
    10,954,314x = 289,981,519,461,914.06
  5. Step 5: Solve for x
    x = 289,981,519,461,914.06/10,954,314
  6. Step 6: Final answer
    x = 26,471,901.34

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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.