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Finding the Third Proportional to 5,674,616 and 9,033,801

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Solution

The third proportional to 5,674,616 and 9,033,801 is: 14,381,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674,616 : 9,033,801 = 9,033,801 : x
  2. Step 2: Convert to fraction form
    5,674,616/9,033,801 = 9,033,801/x
  3. Step 3: Cross multiply
    5,674,616x = 9,033,801 × 9,033,801
  4. Step 4: Simplify right side
    5,674,616x = 81,609,560,507,601
  5. Step 5: Solve for x
    x = 81,609,560,507,601/5,674,616
  6. Step 6: Final answer
    x = 14,381,512.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.