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Finding the Third Proportional to 3,814,224 and 8,083,344

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Solution

The third proportional to 3,814,224 and 8,083,344 is: 17,130,732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814,224 : 8,083,344 = 8,083,344 : x
  2. Step 2: Convert to fraction form
    3,814,224/8,083,344 = 8,083,344/x
  3. Step 3: Cross multiply
    3,814,224x = 8,083,344 × 8,083,344
  4. Step 4: Simplify right side
    3,814,224x = 65,340,450,222,336
  5. Step 5: Solve for x
    x = 65,340,450,222,336/3,814,224
  6. Step 6: Final answer
    x = 17,130,732.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.