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Finding the Third Proportional to 9,816,928 and 22,928,302

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Solution

The third proportional to 9,816,928 and 22,928,302 is: 53,551,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816,928 : 22,928,302 = 22,928,302 : x
  2. Step 2: Convert to fraction form
    9,816,928/22,928,302 = 22,928,302/x
  3. Step 3: Cross multiply
    9,816,928x = 22,928,302 × 22,928,302
  4. Step 4: Simplify right side
    9,816,928x = 525,707,032,603,204
  5. Step 5: Solve for x
    x = 525,707,032,603,204/9,816,928
  6. Step 6: Final answer
    x = 53,551,073.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.