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Finding the Third Proportional to 2,665,296 and 5,756,151

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Solution

The third proportional to 2,665,296 and 5,756,151 is: 12,431,367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,296 : 5,756,151 = 5,756,151 : x
  2. Step 2: Convert to fraction form
    2,665,296/5,756,151 = 5,756,151/x
  3. Step 3: Cross multiply
    2,665,296x = 5,756,151 × 5,756,151
  4. Step 4: Simplify right side
    2,665,296x = 33,133,274,334,801
  5. Step 5: Solve for x
    x = 33,133,274,334,801/2,665,296
  6. Step 6: Final answer
    x = 12,431,367.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.