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Finding the Third Proportional to 115,751,502,378 and 250,737,322,320

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Solution

The third proportional to 115,751,502,378 and 250,737,322,320 is: 543,139,428,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,751,502,378 : 250,737,322,320 = 250,737,322,320 : x
  2. Step 2: Convert to fraction form
    115,751,502,378/250,737,322,320 = 250,737,322,320/x
  3. Step 3: Cross multiply
    115,751,502,378x = 250,737,322,320 × 250,737,322,320
  4. Step 4: Simplify right side
    115,751,502,378x = 62,869,204,804,203,570,003,968
  5. Step 5: Solve for x
    x = 62,869,204,804,203,570,003,968/115,751,502,378
  6. Step 6: Final answer
    x = 543,139,428,107.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.