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Finding the Third Proportional to 12,194,968 and 17,834,458

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Solution

The third proportional to 12,194,968 and 17,834,458 is: 26,081,896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194,968 : 17,834,458 = 17,834,458 : x
  2. Step 2: Convert to fraction form
    12,194,968/17,834,458 = 17,834,458/x
  3. Step 3: Cross multiply
    12,194,968x = 17,834,458 × 17,834,458
  4. Step 4: Simplify right side
    12,194,968x = 318,067,892,153,764
  5. Step 5: Solve for x
    x = 318,067,892,153,764/12,194,968
  6. Step 6: Final answer
    x = 26,081,896.41

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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.