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Finding the Third Proportional to 3,649,819.50 and 7,876,711.50

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Solution

The third proportional to 3,649,819.50 and 7,876,711.50 is: 16,998,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649,819.50 : 7,876,711.50 = 7,876,711.50 : x
  2. Step 2: Convert to fraction form
    3,649,819.50/7,876,711.50 = 7,876,711.50/x
  3. Step 3: Cross multiply
    3,649,819.50x = 7,876,711.50 × 7,876,711.50
  4. Step 4: Simplify right side
    3,649,819.50x = 62,042,584,054,232.25
  5. Step 5: Solve for x
    x = 62,042,584,054,232.25/3,649,819.50
  6. Step 6: Final answer
    x = 16,998,808.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.