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Finding the Third Proportional to 5,971,879 and 12,725,975

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Solution

The third proportional to 5,971,879 and 12,725,975 is: 27,118,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971,879 : 12,725,975 = 12,725,975 : x
  2. Step 2: Convert to fraction form
    5,971,879/12,725,975 = 12,725,975/x
  3. Step 3: Cross multiply
    5,971,879x = 12,725,975 × 12,725,975
  4. Step 4: Simplify right side
    5,971,879x = 161,950,439,700,625
  5. Step 5: Solve for x
    x = 161,950,439,700,625/5,971,879
  6. Step 6: Final answer
    x = 27,118,841.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.