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Finding the Third Proportional to 46,769,770,728 and 109,133,236,404

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Solution

The third proportional to 46,769,770,728 and 109,133,236,404 is: 254,653,018,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,769,770,728 : 109,133,236,404 = 109,133,236,404 : x
  2. Step 2: Convert to fraction form
    46,769,770,728/109,133,236,404 = 109,133,236,404/x
  3. Step 3: Cross multiply
    46,769,770,728x = 109,133,236,404 × 109,133,236,404
  4. Step 4: Simplify right side
    46,769,770,728x = 11,910,063,288,011,351,654,400
  5. Step 5: Solve for x
    x = 11,910,063,288,011,351,654,400/46,769,770,728
  6. Step 6: Final answer
    x = 254,653,018,448.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.