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Finding the Third Proportional to 5,301,093 and 11,540,733

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Solution

The third proportional to 5,301,093 and 11,540,733 is: 25,124,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301,093 : 11,540,733 = 11,540,733 : x
  2. Step 2: Convert to fraction form
    5,301,093/11,540,733 = 11,540,733/x
  3. Step 3: Cross multiply
    5,301,093x = 11,540,733 × 11,540,733
  4. Step 4: Simplify right side
    5,301,093x = 133,188,518,177,289
  5. Step 5: Solve for x
    x = 133,188,518,177,289/5,301,093
  6. Step 6: Final answer
    x = 25,124,727.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.