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Finding the Third Proportional to 9,922,928 and 14,942,472

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Solution

The third proportional to 9,922,928 and 14,942,472 is: 22,501,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922,928 : 14,942,472 = 14,942,472 : x
  2. Step 2: Convert to fraction form
    9,922,928/14,942,472 = 14,942,472/x
  3. Step 3: Cross multiply
    9,922,928x = 14,942,472 × 14,942,472
  4. Step 4: Simplify right side
    9,922,928x = 223,277,469,470,784
  5. Step 5: Solve for x
    x = 223,277,469,470,784/9,922,928
  6. Step 6: Final answer
    x = 22,501,167.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.