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Finding the Third Proportional to 5,230,598 and 11,286,907

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Solution

The third proportional to 5,230,598 and 11,286,907 is: 24,355,584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230,598 : 11,286,907 = 11,286,907 : x
  2. Step 2: Convert to fraction form
    5,230,598/11,286,907 = 11,286,907/x
  3. Step 3: Cross multiply
    5,230,598x = 11,286,907 × 11,286,907
  4. Step 4: Simplify right side
    5,230,598x = 127,394,269,626,649
  5. Step 5: Solve for x
    x = 127,394,269,626,649/5,230,598
  6. Step 6: Final answer
    x = 24,355,584.13

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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.