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Finding the Third Proportional to 12,194,962 and 17,834,450

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Solution

The third proportional to 12,194,962 and 17,834,450 is: 26,081,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194,962 : 17,834,450 = 17,834,450 : x
  2. Step 2: Convert to fraction form
    12,194,962/17,834,450 = 17,834,450/x
  3. Step 3: Cross multiply
    12,194,962x = 17,834,450 × 17,834,450
  4. Step 4: Simplify right side
    12,194,962x = 318,067,606,802,500
  5. Step 5: Solve for x
    x = 318,067,606,802,500/12,194,962
  6. Step 6: Final answer
    x = 26,081,885.85

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