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Finding the Third Proportional to 7,451,433 and 11,214,063

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Solution

The third proportional to 7,451,433 and 11,214,063 is: 16,876,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451,433 : 11,214,063 = 11,214,063 : x
  2. Step 2: Convert to fraction form
    7,451,433/11,214,063 = 11,214,063/x
  3. Step 3: Cross multiply
    7,451,433x = 11,214,063 × 11,214,063
  4. Step 4: Simplify right side
    7,451,433x = 125,755,208,967,969
  5. Step 5: Solve for x
    x = 125,755,208,967,969/7,451,433
  6. Step 6: Final answer
    x = 16,876,647.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.