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Finding the Third Proportional to 12,339,424 and 18,032,369

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Solution

The third proportional to 12,339,424 and 18,032,369 is: 26,351,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339,424 : 18,032,369 = 18,032,369 : x
  2. Step 2: Convert to fraction form
    12,339,424/18,032,369 = 18,032,369/x
  3. Step 3: Cross multiply
    12,339,424x = 18,032,369 × 18,032,369
  4. Step 4: Simplify right side
    12,339,424x = 325,166,331,752,161
  5. Step 5: Solve for x
    x = 325,166,331,752,161/12,339,424
  6. Step 6: Final answer
    x = 26,351,824.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.