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Finding the Third Proportional to 11,546,891.09 and 16,143,233.24

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Solution

The third proportional to 11,546,891.09 and 16,143,233.24 is: 22,569,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546,891.09 : 16,143,233.24 = 16,143,233.24 : x
  2. Step 2: Convert to fraction form
    11,546,891.09/16,143,233.24 = 16,143,233.24/x
  3. Step 3: Cross multiply
    11,546,891.09x = 16,143,233.24 × 16,143,233.24
  4. Step 4: Simplify right side
    11,546,891.09x = 260,603,979,385,572.78
  5. Step 5: Solve for x
    x = 260,603,979,385,572.78/11,546,891.09
  6. Step 6: Final answer
    x = 22,569,190.05

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.