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Finding the Third Proportional to 8,224,914 and 17,821,314

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Solution

The third proportional to 8,224,914 and 17,821,314 is: 38,614,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224,914 : 17,821,314 = 17,821,314 : x
  2. Step 2: Convert to fraction form
    8,224,914/17,821,314 = 17,821,314/x
  3. Step 3: Cross multiply
    8,224,914x = 17,821,314 × 17,821,314
  4. Step 4: Simplify right side
    8,224,914x = 317,599,232,686,596
  5. Step 5: Solve for x
    x = 317,599,232,686,596/8,224,914
  6. Step 6: Final answer
    x = 38,614,292.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.