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Finding the Third Proportional to 5,223,853.88 and 7,093,864.31

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Solution

The third proportional to 5,223,853.88 and 7,093,864.31 is: 9,633,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223,853.88 : 7,093,864.31 = 7,093,864.31 : x
  2. Step 2: Convert to fraction form
    5,223,853.88/7,093,864.31 = 7,093,864.31/x
  3. Step 3: Cross multiply
    5,223,853.88x = 7,093,864.31 × 7,093,864.31
  4. Step 4: Simplify right side
    5,223,853.88x = 50,322,910,884,161.09
  5. Step 5: Solve for x
    x = 50,322,910,884,161.09/5,223,853.88
  6. Step 6: Final answer
    x = 9,633,292.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.