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Finding the Third Proportional to 11,974,898.25 and 18,763,467.75

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Solution

The third proportional to 11,974,898.25 and 18,763,467.75 is: 29,400,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974,898.25 : 18,763,467.75 = 18,763,467.75 : x
  2. Step 2: Convert to fraction form
    11,974,898.25/18,763,467.75 = 18,763,467.75/x
  3. Step 3: Cross multiply
    11,974,898.25x = 18,763,467.75 × 18,763,467.75
  4. Step 4: Simplify right side
    11,974,898.25x = 352,067,722,005,290.06
  5. Step 5: Solve for x
    x = 352,067,722,005,290.06/11,974,898.25
  6. Step 6: Final answer
    x = 29,400,477.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.