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Finding the Third Proportional to 11,973,822 and 18,433,161

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Solution

The third proportional to 11,973,822 and 18,433,161 is: 28,377,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973,822 : 18,433,161 = 18,433,161 : x
  2. Step 2: Convert to fraction form
    11,973,822/18,433,161 = 18,433,161/x
  3. Step 3: Cross multiply
    11,973,822x = 18,433,161 × 18,433,161
  4. Step 4: Simplify right side
    11,973,822x = 339,781,424,451,921
  5. Step 5: Solve for x
    x = 339,781,424,451,921/11,973,822
  6. Step 6: Final answer
    x = 28,377,023.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.