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Finding the Third Proportional to 5,046,944.25 and 7,568,563.50

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Solution

The third proportional to 5,046,944.25 and 7,568,563.50 is: 11,350,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046,944.25 : 7,568,563.50 = 7,568,563.50 : x
  2. Step 2: Convert to fraction form
    5,046,944.25/7,568,563.50 = 7,568,563.50/x
  3. Step 3: Cross multiply
    5,046,944.25x = 7,568,563.50 × 7,568,563.50
  4. Step 4: Simplify right side
    5,046,944.25x = 57,283,153,453,532.25
  5. Step 5: Solve for x
    x = 57,283,153,453,532.25/5,046,944.25
  6. Step 6: Final answer
    x = 11,350,066.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.