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Finding the Third Proportional to 7,633,832 and 16,463,328

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Solution

The third proportional to 7,633,832 and 16,463,328 is: 35,505,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633,832 : 16,463,328 = 16,463,328 : x
  2. Step 2: Convert to fraction form
    7,633,832/16,463,328 = 16,463,328/x
  3. Step 3: Cross multiply
    7,633,832x = 16,463,328 × 16,463,328
  4. Step 4: Simplify right side
    7,633,832x = 271,041,168,835,584
  5. Step 5: Solve for x
    x = 271,041,168,835,584/7,633,832
  6. Step 6: Final answer
    x = 35,505,257.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.