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Finding the Third Proportional to 5,466,310 and 11,959,198

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Solution

The third proportional to 5,466,310 and 11,959,198 is: 26,164,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466,310 : 11,959,198 = 11,959,198 : x
  2. Step 2: Convert to fraction form
    5,466,310/11,959,198 = 11,959,198/x
  3. Step 3: Cross multiply
    5,466,310x = 11,959,198 × 11,959,198
  4. Step 4: Simplify right side
    5,466,310x = 143,022,416,803,204
  5. Step 5: Solve for x
    x = 143,022,416,803,204/5,466,310
  6. Step 6: Final answer
    x = 26,164,344.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.