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Finding the Third Proportional to 9,606,096 and 14,858,031

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Solution

The third proportional to 9,606,096 and 14,858,031 is: 22,981,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606,096 : 14,858,031 = 14,858,031 : x
  2. Step 2: Convert to fraction form
    9,606,096/14,858,031 = 14,858,031/x
  3. Step 3: Cross multiply
    9,606,096x = 14,858,031 × 14,858,031
  4. Step 4: Simplify right side
    9,606,096x = 220,761,085,196,961
  5. Step 5: Solve for x
    x = 220,761,085,196,961/9,606,096
  6. Step 6: Final answer
    x = 22,981,353.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.