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Finding the Third Proportional to 6,868,269 and 13,563,675

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Solution

The third proportional to 6,868,269 and 13,563,675 is: 26,785,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868,269 : 13,563,675 = 13,563,675 : x
  2. Step 2: Convert to fraction form
    6,868,269/13,563,675 = 13,563,675/x
  3. Step 3: Cross multiply
    6,868,269x = 13,563,675 × 13,563,675
  4. Step 4: Simplify right side
    6,868,269x = 183,973,279,505,625
  5. Step 5: Solve for x
    x = 183,973,279,505,625/6,868,269
  6. Step 6: Final answer
    x = 26,785,974.68

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.