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Finding the Third Proportional to 7,789,014 and 16,949,553.75

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Solution

The third proportional to 7,789,014 and 16,949,553.75 is: 36,883,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789,014 : 16,949,553.75 = 16,949,553.75 : x
  2. Step 2: Convert to fraction form
    7,789,014/16,949,553.75 = 16,949,553.75/x
  3. Step 3: Cross multiply
    7,789,014x = 16,949,553.75 × 16,949,553.75
  4. Step 4: Simplify right side
    7,789,014x = 287,287,372,324,139.06
  5. Step 5: Solve for x
    x = 287,287,372,324,139.06/7,789,014
  6. Step 6: Final answer
    x = 36,883,663.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.