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Finding the Third Proportional to 5,832,048 and 12,725,328

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Solution

The third proportional to 5,832,048 and 12,725,328 is: 27,766,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832,048 : 12,725,328 = 12,725,328 : x
  2. Step 2: Convert to fraction form
    5,832,048/12,725,328 = 12,725,328/x
  3. Step 3: Cross multiply
    5,832,048x = 12,725,328 × 12,725,328
  4. Step 4: Simplify right side
    5,832,048x = 161,933,972,707,584
  5. Step 5: Solve for x
    x = 161,933,972,707,584/5,832,048
  6. Step 6: Final answer
    x = 27,766,227.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.