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Finding the Third Proportional to 5,324,589.75 and 7,614,221.63

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Solution

The third proportional to 5,324,589.75 and 7,614,221.63 is: 10,888,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324,589.75 : 7,614,221.63 = 7,614,221.63 : x
  2. Step 2: Convert to fraction form
    5,324,589.75/7,614,221.63 = 7,614,221.63/x
  3. Step 3: Cross multiply
    5,324,589.75x = 7,614,221.63 × 7,614,221.63
  4. Step 4: Simplify right side
    5,324,589.75x = 57,976,370,954,617.64
  5. Step 5: Solve for x
    x = 57,976,370,954,617.64/5,324,589.75
  6. Step 6: Final answer
    x = 10,888,420.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.