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Finding the Third Proportional to 3,085,296 and 6,644,715

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Solution

The third proportional to 3,085,296 and 6,644,715 is: 14,310,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085,296 : 6,644,715 = 6,644,715 : x
  2. Step 2: Convert to fraction form
    3,085,296/6,644,715 = 6,644,715/x
  3. Step 3: Cross multiply
    3,085,296x = 6,644,715 × 6,644,715
  4. Step 4: Simplify right side
    3,085,296x = 44,152,237,431,225
  5. Step 5: Solve for x
    x = 44,152,237,431,225/3,085,296
  6. Step 6: Final answer
    x = 14,310,535.34

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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.