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Finding the Third Proportional to 2,633,328 and 5,666,256

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Solution

The third proportional to 2,633,328 and 5,666,256 is: 12,192,350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633,328 : 5,666,256 = 5,666,256 : x
  2. Step 2: Convert to fraction form
    2,633,328/5,666,256 = 5,666,256/x
  3. Step 3: Cross multiply
    2,633,328x = 5,666,256 × 5,666,256
  4. Step 4: Simplify right side
    2,633,328x = 32,106,457,057,536
  5. Step 5: Solve for x
    x = 32,106,457,057,536/2,633,328
  6. Step 6: Final answer
    x = 12,192,350.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.