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Finding the Third Proportional to 5,083,309 and 11,190,134

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Solution

The third proportional to 5,083,309 and 11,190,134 is: 24,633,383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083,309 : 11,190,134 = 11,190,134 : x
  2. Step 2: Convert to fraction form
    5,083,309/11,190,134 = 11,190,134/x
  3. Step 3: Cross multiply
    5,083,309x = 11,190,134 × 11,190,134
  4. Step 4: Simplify right side
    5,083,309x = 125,219,098,937,956
  5. Step 5: Solve for x
    x = 125,219,098,937,956/5,083,309
  6. Step 6: Final answer
    x = 24,633,383.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.