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Finding the Third Proportional to 6,766,456 and 14,589,198

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Solution

The third proportional to 6,766,456 and 14,589,198 is: 31,455,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766,456 : 14,589,198 = 14,589,198 : x
  2. Step 2: Convert to fraction form
    6,766,456/14,589,198 = 14,589,198/x
  3. Step 3: Cross multiply
    6,766,456x = 14,589,198 × 14,589,198
  4. Step 4: Simplify right side
    6,766,456x = 212,844,698,283,204
  5. Step 5: Solve for x
    x = 212,844,698,283,204/6,766,456
  6. Step 6: Final answer
    x = 31,455,860.84

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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.