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Finding the Third Proportional to 5,476,738 and 12,212,756

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Solution

The third proportional to 5,476,738 and 12,212,756 is: 27,233,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476,738 : 12,212,756 = 12,212,756 : x
  2. Step 2: Convert to fraction form
    5,476,738/12,212,756 = 12,212,756/x
  3. Step 3: Cross multiply
    5,476,738x = 12,212,756 × 12,212,756
  4. Step 4: Simplify right side
    5,476,738x = 149,151,409,115,536
  5. Step 5: Solve for x
    x = 149,151,409,115,536/5,476,738
  6. Step 6: Final answer
    x = 27,233,621.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.