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Finding the Third Proportional to 23,664,320 and 33,816,864

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Solution

The third proportional to 23,664,320 and 33,816,864 is: 48,325,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,664,320 : 33,816,864 = 33,816,864 : x
  2. Step 2: Convert to fraction form
    23,664,320/33,816,864 = 33,816,864/x
  3. Step 3: Cross multiply
    23,664,320x = 33,816,864 × 33,816,864
  4. Step 4: Simplify right side
    23,664,320x = 1,143,580,290,794,496
  5. Step 5: Solve for x
    x = 1,143,580,290,794,496/23,664,320
  6. Step 6: Final answer
    x = 48,325,085.65

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.