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Finding the Third Proportional to 7,816,324.50 and 17,222,895

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Solution

The third proportional to 7,816,324.50 and 17,222,895 is: 37,949,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816,324.50 : 17,222,895 = 17,222,895 : x
  2. Step 2: Convert to fraction form
    7,816,324.50/17,222,895 = 17,222,895/x
  3. Step 3: Cross multiply
    7,816,324.50x = 17,222,895 × 17,222,895
  4. Step 4: Simplify right side
    7,816,324.50x = 296,628,112,181,025
  5. Step 5: Solve for x
    x = 296,628,112,181,025/7,816,324.50
  6. Step 6: Final answer
    x = 37,949,820.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.