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Finding the Third Proportional to 5,441,431.50 and 8,133,716.25

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Solution

The third proportional to 5,441,431.50 and 8,133,716.25 is: 12,158,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441,431.50 : 8,133,716.25 = 8,133,716.25 : x
  2. Step 2: Convert to fraction form
    5,441,431.50/8,133,716.25 = 8,133,716.25/x
  3. Step 3: Cross multiply
    5,441,431.50x = 8,133,716.25 × 8,133,716.25
  4. Step 4: Simplify right side
    5,441,431.50x = 66,157,340,035,514.06
  5. Step 5: Solve for x
    x = 66,157,340,035,514.06/5,441,431.50
  6. Step 6: Final answer
    x = 12,158,076.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.