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Finding the Third Proportional to 2,942,227 and 6,348,916

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Solution

The third proportional to 2,942,227 and 6,348,916 is: 13,700,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942,227 : 6,348,916 = 6,348,916 : x
  2. Step 2: Convert to fraction form
    2,942,227/6,348,916 = 6,348,916/x
  3. Step 3: Cross multiply
    2,942,227x = 6,348,916 × 6,348,916
  4. Step 4: Simplify right side
    2,942,227x = 40,308,734,375,056
  5. Step 5: Solve for x
    x = 40,308,734,375,056/2,942,227
  6. Step 6: Final answer
    x = 13,700,076.29

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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.