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Finding the Third Proportional to 9,331,296 and 13,996,944

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Solution

The third proportional to 9,331,296 and 13,996,944 is: 20,995,416

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331,296 : 13,996,944 = 13,996,944 : x
  2. Step 2: Convert to fraction form
    9,331,296/13,996,944 = 13,996,944/x
  3. Step 3: Cross multiply
    9,331,296x = 13,996,944 × 13,996,944
  4. Step 4: Simplify right side
    9,331,296x = 195,914,441,339,136
  5. Step 5: Solve for x
    x = 195,914,441,339,136/9,331,296
  6. Step 6: Final answer
    x = 20,995,416

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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.