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Finding the Third Proportional to 7,650,930.75 and 16,165,362.38

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Solution

The third proportional to 7,650,930.75 and 16,165,362.38 is: 34,155,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650,930.75 : 16,165,362.38 = 16,165,362.38 : x
  2. Step 2: Convert to fraction form
    7,650,930.75/16,165,362.38 = 16,165,362.38/x
  3. Step 3: Cross multiply
    7,650,930.75x = 16,165,362.38 × 16,165,362.38
  4. Step 4: Simplify right side
    7,650,930.75x = 261,318,940,715,065.62
  5. Step 5: Solve for x
    x = 261,318,940,715,065.62/7,650,930.75
  6. Step 6: Final answer
    x = 34,155,183.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.