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Finding the Third Proportional to 9,616,936 and 14,976,856

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Solution

The third proportional to 9,616,936 and 14,976,856 is: 23,324,083.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616,936 : 14,976,856 = 14,976,856 : x
  2. Step 2: Convert to fraction form
    9,616,936/14,976,856 = 14,976,856/x
  3. Step 3: Cross multiply
    9,616,936x = 14,976,856 × 14,976,856
  4. Step 4: Simplify right side
    9,616,936x = 224,306,215,644,736
  5. Step 5: Solve for x
    x = 224,306,215,644,736/9,616,936
  6. Step 6: Final answer
    x = 23,324,083.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.