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Finding the Third Proportional to 9,694,077 and 14,353,942.50

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Solution

The third proportional to 9,694,077 and 14,353,942.50 is: 21,253,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694,077 : 14,353,942.50 = 14,353,942.50 : x
  2. Step 2: Convert to fraction form
    9,694,077/14,353,942.50 = 14,353,942.50/x
  3. Step 3: Cross multiply
    9,694,077x = 14,353,942.50 × 14,353,942.50
  4. Step 4: Simplify right side
    9,694,077x = 206,035,665,293,306.25
  5. Step 5: Solve for x
    x = 206,035,665,293,306.25/9,694,077
  6. Step 6: Final answer
    x = 21,253,768.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.