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Finding the Third Proportional to 3,585,223.69 and 8,398,813.22

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Solution

The third proportional to 3,585,223.69 and 8,398,813.22 is: 19,675,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585,223.69 : 8,398,813.22 = 8,398,813.22 : x
  2. Step 2: Convert to fraction form
    3,585,223.69/8,398,813.22 = 8,398,813.22/x
  3. Step 3: Cross multiply
    3,585,223.69x = 8,398,813.22 × 8,398,813.22
  4. Step 4: Simplify right side
    3,585,223.69x = 70,540,063,483,449.73
  5. Step 5: Solve for x
    x = 70,540,063,483,449.73/3,585,223.69
  6. Step 6: Final answer
    x = 19,675,219.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.