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Finding the Third Proportional to 24,362,728 and 54,172,496

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Solution

The third proportional to 24,362,728 and 54,172,496 is: 120,456,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362,728 : 54,172,496 = 54,172,496 : x
  2. Step 2: Convert to fraction form
    24,362,728/54,172,496 = 54,172,496/x
  3. Step 3: Cross multiply
    24,362,728x = 54,172,496 × 54,172,496
  4. Step 4: Simplify right side
    24,362,728x = 2,934,659,322,870,016
  5. Step 5: Solve for x
    x = 2,934,659,322,870,016/24,362,728
  6. Step 6: Final answer
    x = 120,456,925.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.