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Finding the Third Proportional to 5,747,564.25 and 9,578,891.25

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Solution

The third proportional to 5,747,564.25 and 9,578,891.25 is: 15,964,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747,564.25 : 9,578,891.25 = 9,578,891.25 : x
  2. Step 2: Convert to fraction form
    5,747,564.25/9,578,891.25 = 9,578,891.25/x
  3. Step 3: Cross multiply
    5,747,564.25x = 9,578,891.25 × 9,578,891.25
  4. Step 4: Simplify right side
    5,747,564.25x = 91,755,157,579,326.56
  5. Step 5: Solve for x
    x = 91,755,157,579,326.56/5,747,564.25
  6. Step 6: Final answer
    x = 15,964,181.28

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.