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Finding the Third Proportional to 5,324,548.50 and 7,614,167.06

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Solution

The third proportional to 5,324,548.50 and 7,614,167.06 is: 10,888,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324,548.50 : 7,614,167.06 = 7,614,167.06 : x
  2. Step 2: Convert to fraction form
    5,324,548.50/7,614,167.06 = 7,614,167.06/x
  3. Step 3: Cross multiply
    5,324,548.50x = 7,614,167.06 × 7,614,167.06
  4. Step 4: Simplify right side
    5,324,548.50x = 57,975,540,055,659.88
  5. Step 5: Solve for x
    x = 57,975,540,055,659.88/5,324,548.50
  6. Step 6: Final answer
    x = 10,888,348.57

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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.