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Finding the Third Proportional to 12,635,842 and 19,410,027

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Solution

The third proportional to 12,635,842 and 19,410,027 is: 29,815,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635,842 : 19,410,027 = 19,410,027 : x
  2. Step 2: Convert to fraction form
    12,635,842/19,410,027 = 19,410,027/x
  3. Step 3: Cross multiply
    12,635,842x = 19,410,027 × 19,410,027
  4. Step 4: Simplify right side
    12,635,842x = 376,749,148,140,729
  5. Step 5: Solve for x
    x = 376,749,148,140,729/12,635,842
  6. Step 6: Final answer
    x = 29,815,911.61

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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.