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Finding the Third Proportional to 3,810,825 and 8,174,233

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Solution

The third proportional to 3,810,825 and 8,174,233 is: 17,533,758.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810,825 : 8,174,233 = 8,174,233 : x
  2. Step 2: Convert to fraction form
    3,810,825/8,174,233 = 8,174,233/x
  3. Step 3: Cross multiply
    3,810,825x = 8,174,233 × 8,174,233
  4. Step 4: Simplify right side
    3,810,825x = 66,818,085,138,289
  5. Step 5: Solve for x
    x = 66,818,085,138,289/3,810,825
  6. Step 6: Final answer
    x = 17,533,758.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.