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Finding the Third Proportional to 3,882,508.50 and 8,262,927

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Solution

The third proportional to 3,882,508.50 and 8,262,927 is: 17,585,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882,508.50 : 8,262,927 = 8,262,927 : x
  2. Step 2: Convert to fraction form
    3,882,508.50/8,262,927 = 8,262,927/x
  3. Step 3: Cross multiply
    3,882,508.50x = 8,262,927 × 8,262,927
  4. Step 4: Simplify right side
    3,882,508.50x = 68,275,962,607,329
  5. Step 5: Solve for x
    x = 68,275,962,607,329/3,882,508.50
  6. Step 6: Final answer
    x = 17,585,528.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.