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Finding the Third Proportional to 3,105,314 and 6,789,916

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Solution

The third proportional to 3,105,314 and 6,789,916 is: 14,846,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,314 : 6,789,916 = 6,789,916 : x
  2. Step 2: Convert to fraction form
    3,105,314/6,789,916 = 6,789,916/x
  3. Step 3: Cross multiply
    3,105,314x = 6,789,916 × 6,789,916
  4. Step 4: Simplify right side
    3,105,314x = 46,102,959,287,056
  5. Step 5: Solve for x
    x = 46,102,959,287,056/3,105,314
  6. Step 6: Final answer
    x = 14,846,472.62

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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.