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Finding the Third Proportional to 5,819,625.25 and 13,718,475

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Solution

The third proportional to 5,819,625.25 and 13,718,475 is: 32,338,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819,625.25 : 13,718,475 = 13,718,475 : x
  2. Step 2: Convert to fraction form
    5,819,625.25/13,718,475 = 13,718,475/x
  3. Step 3: Cross multiply
    5,819,625.25x = 13,718,475 × 13,718,475
  4. Step 4: Simplify right side
    5,819,625.25x = 188,196,556,325,625
  5. Step 5: Solve for x
    x = 188,196,556,325,625/5,819,625.25
  6. Step 6: Final answer
    x = 32,338,260.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.