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Finding the Third Proportional to 9,616,906 and 14,976,811

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Solution

The third proportional to 9,616,906 and 14,976,811 is: 23,324,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616,906 : 14,976,811 = 14,976,811 : x
  2. Step 2: Convert to fraction form
    9,616,906/14,976,811 = 14,976,811/x
  3. Step 3: Cross multiply
    9,616,906x = 14,976,811 × 14,976,811
  4. Step 4: Simplify right side
    9,616,906x = 224,304,867,729,721
  5. Step 5: Solve for x
    x = 224,304,867,729,721/9,616,906
  6. Step 6: Final answer
    x = 23,324,015.82

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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.