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Finding the Third Proportional to 30,458,950,494 and 66,801,858,276

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Solution

The third proportional to 30,458,950,494 and 66,801,858,276 is: 146,508,274,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458,950,494 : 66,801,858,276 = 66,801,858,276 : x
  2. Step 2: Convert to fraction form
    30,458,950,494/66,801,858,276 = 66,801,858,276/x
  3. Step 3: Cross multiply
    30,458,950,494x = 66,801,858,276 × 66,801,858,276
  4. Step 4: Simplify right side
    30,458,950,494x = 4,462,488,269,126,789,758,976
  5. Step 5: Solve for x
    x = 4,462,488,269,126,789,758,976/30,458,950,494
  6. Step 6: Final answer
    x = 146,508,274,144.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.