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Finding the Third Proportional to 3,832,371 and 8,345,142

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Solution

The third proportional to 3,832,371 and 8,345,142 is: 18,171,882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832,371 : 8,345,142 = 8,345,142 : x
  2. Step 2: Convert to fraction form
    3,832,371/8,345,142 = 8,345,142/x
  3. Step 3: Cross multiply
    3,832,371x = 8,345,142 × 8,345,142
  4. Step 4: Simplify right side
    3,832,371x = 69,641,395,000,164
  5. Step 5: Solve for x
    x = 69,641,395,000,164/3,832,371
  6. Step 6: Final answer
    x = 18,171,882.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.