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Finding the Third Proportional to 11,940,023 and 18,009,907

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Solution

The third proportional to 11,940,023 and 18,009,907 is: 27,165,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940,023 : 18,009,907 = 18,009,907 : x
  2. Step 2: Convert to fraction form
    11,940,023/18,009,907 = 18,009,907/x
  3. Step 3: Cross multiply
    11,940,023x = 18,009,907 × 18,009,907
  4. Step 4: Simplify right side
    11,940,023x = 324,356,750,148,649
  5. Step 5: Solve for x
    x = 324,356,750,148,649/11,940,023
  6. Step 6: Final answer
    x = 27,165,504.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.