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Finding the Third Proportional to 5,198,616 and 11,592,570

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Solution

The third proportional to 5,198,616 and 11,592,570 is: 25,850,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198,616 : 11,592,570 = 11,592,570 : x
  2. Step 2: Convert to fraction form
    5,198,616/11,592,570 = 11,592,570/x
  3. Step 3: Cross multiply
    5,198,616x = 11,592,570 × 11,592,570
  4. Step 4: Simplify right side
    5,198,616x = 134,387,679,204,900
  5. Step 5: Solve for x
    x = 134,387,679,204,900/5,198,616
  6. Step 6: Final answer
    x = 25,850,664.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.