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Finding the Third Proportional to 2,734,175.25 and 5,983,267.50

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Solution

The third proportional to 2,734,175.25 and 5,983,267.50 is: 13,093,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734,175.25 : 5,983,267.50 = 5,983,267.50 : x
  2. Step 2: Convert to fraction form
    2,734,175.25/5,983,267.50 = 5,983,267.50/x
  3. Step 3: Cross multiply
    2,734,175.25x = 5,983,267.50 × 5,983,267.50
  4. Step 4: Simplify right side
    2,734,175.25x = 35,799,489,976,556.25
  5. Step 5: Solve for x
    x = 35,799,489,976,556.25/2,734,175.25
  6. Step 6: Final answer
    x = 13,093,341.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.