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Finding the Third Proportional to 8,153,036 and 17,770,977

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Solution

The third proportional to 8,153,036 and 17,770,977 is: 38,734,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153,036 : 17,770,977 = 17,770,977 : x
  2. Step 2: Convert to fraction form
    8,153,036/17,770,977 = 17,770,977/x
  3. Step 3: Cross multiply
    8,153,036x = 17,770,977 × 17,770,977
  4. Step 4: Simplify right side
    8,153,036x = 315,807,623,534,529
  5. Step 5: Solve for x
    x = 315,807,623,534,529/8,153,036
  6. Step 6: Final answer
    x = 38,734,972.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.