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Finding the Third Proportional to 3,207,830.50 and 6,681,053

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Solution

The third proportional to 3,207,830.50 and 6,681,053 is: 13,914,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207,830.50 : 6,681,053 = 6,681,053 : x
  2. Step 2: Convert to fraction form
    3,207,830.50/6,681,053 = 6,681,053/x
  3. Step 3: Cross multiply
    3,207,830.50x = 6,681,053 × 6,681,053
  4. Step 4: Simplify right side
    3,207,830.50x = 44,636,469,188,809
  5. Step 5: Solve for x
    x = 44,636,469,188,809/3,207,830.50
  6. Step 6: Final answer
    x = 13,914,846.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.