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Finding the Third Proportional to 5,944,926 and 9,109,296

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Solution

The third proportional to 5,944,926 and 9,109,296 is: 13,957,999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944,926 : 9,109,296 = 9,109,296 : x
  2. Step 2: Convert to fraction form
    5,944,926/9,109,296 = 9,109,296/x
  3. Step 3: Cross multiply
    5,944,926x = 9,109,296 × 9,109,296
  4. Step 4: Simplify right side
    5,944,926x = 82,979,273,615,616
  5. Step 5: Solve for x
    x = 82,979,273,615,616/5,944,926
  6. Step 6: Final answer
    x = 13,957,999.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.