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Finding the Third Proportional to 5,728,328 and 12,353,463

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Solution

The third proportional to 5,728,328 and 12,353,463 is: 26,640,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728,328 : 12,353,463 = 12,353,463 : x
  2. Step 2: Convert to fraction form
    5,728,328/12,353,463 = 12,353,463/x
  3. Step 3: Cross multiply
    5,728,328x = 12,353,463 × 12,353,463
  4. Step 4: Simplify right side
    5,728,328x = 152,608,048,092,369
  5. Step 5: Solve for x
    x = 152,608,048,092,369/5,728,328
  6. Step 6: Final answer
    x = 26,640,940.97

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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.