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Finding the Third Proportional to 31,534,544 and 67,991,296

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Solution

The third proportional to 31,534,544 and 67,991,296 is: 146,595,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,534,544 : 67,991,296 = 67,991,296 : x
  2. Step 2: Convert to fraction form
    31,534,544/67,991,296 = 67,991,296/x
  3. Step 3: Cross multiply
    31,534,544x = 67,991,296 × 67,991,296
  4. Step 4: Simplify right side
    31,534,544x = 4,622,816,331,759,616
  5. Step 5: Solve for x
    x = 4,622,816,331,759,616/31,534,544
  6. Step 6: Final answer
    x = 146,595,312.49

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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.