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Finding the Third Proportional to 8,339,296 and 18,272,916

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Solution

The third proportional to 8,339,296 and 18,272,916 is: 40,039,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339,296 : 18,272,916 = 18,272,916 : x
  2. Step 2: Convert to fraction form
    8,339,296/18,272,916 = 18,272,916/x
  3. Step 3: Cross multiply
    8,339,296x = 18,272,916 × 18,272,916
  4. Step 4: Simplify right side
    8,339,296x = 333,899,459,143,056
  5. Step 5: Solve for x
    x = 333,899,459,143,056/8,339,296
  6. Step 6: Final answer
    x = 40,039,286.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.