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Finding the Third Proportional to 12,008,233,315,010 and 16,910,238,635,522

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Solution

The third proportional to 12,008,233,315,010 and 16,910,238,635,522 is: 23,813,342,330,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008,233,315,010 : 16,910,238,635,522 = 16,910,238,635,522 : x
  2. Step 2: Convert to fraction form
    12,008,233,315,010/16,910,238,635,522 = 16,910,238,635,522/x
  3. Step 3: Cross multiply
    12,008,233,315,010x = 16,910,238,635,522 × 16,910,238,635,522
  4. Step 4: Simplify right side
    12,008,233,315,010x = 285,956,170,710,300,949,408,120,832
  5. Step 5: Solve for x
    x = 285,956,170,710,300,949,408,120,832/12,008,233,315,010
  6. Step 6: Final answer
    x = 23,813,342,330,121.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.