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Finding the Third Proportional to 12,162,226 and 26,441,414

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Solution

The third proportional to 12,162,226 and 26,441,414 is: 57,485,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162,226 : 26,441,414 = 26,441,414 : x
  2. Step 2: Convert to fraction form
    12,162,226/26,441,414 = 26,441,414/x
  3. Step 3: Cross multiply
    12,162,226x = 26,441,414 × 26,441,414
  4. Step 4: Simplify right side
    12,162,226x = 699,148,374,319,396
  5. Step 5: Solve for x
    x = 699,148,374,319,396/12,162,226
  6. Step 6: Final answer
    x = 57,485,231.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.