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Finding the Third Proportional to 5,921,193 and 12,307,794

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Solution

The third proportional to 5,921,193 and 12,307,794 is: 25,582,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921,193 : 12,307,794 = 12,307,794 : x
  2. Step 2: Convert to fraction form
    5,921,193/12,307,794 = 12,307,794/x
  3. Step 3: Cross multiply
    5,921,193x = 12,307,794 × 12,307,794
  4. Step 4: Simplify right side
    5,921,193x = 151,481,793,146,436
  5. Step 5: Solve for x
    x = 151,481,793,146,436/5,921,193
  6. Step 6: Final answer
    x = 25,582,985.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.