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Finding the Third Proportional to 6,820,942.50 and 14,534,793

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Solution

The third proportional to 6,820,942.50 and 14,534,793 is: 30,972,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820,942.50 : 14,534,793 = 14,534,793 : x
  2. Step 2: Convert to fraction form
    6,820,942.50/14,534,793 = 14,534,793/x
  3. Step 3: Cross multiply
    6,820,942.50x = 14,534,793 × 14,534,793
  4. Step 4: Simplify right side
    6,820,942.50x = 211,260,207,552,849
  5. Step 5: Solve for x
    x = 211,260,207,552,849/6,820,942.50
  6. Step 6: Final answer
    x = 30,972,289.76

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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.