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Finding the Third Proportional to 66,280,739,174 and 145,393,770,790

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Solution

The third proportional to 66,280,739,174 and 145,393,770,790 is: 318,936,524,365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,280,739,174 : 145,393,770,790 = 145,393,770,790 : x
  2. Step 2: Convert to fraction form
    66,280,739,174/145,393,770,790 = 145,393,770,790/x
  3. Step 3: Cross multiply
    66,280,739,174x = 145,393,770,790 × 145,393,770,790
  4. Step 4: Simplify right side
    66,280,739,174x = 21,139,348,584,535,058,022,400
  5. Step 5: Solve for x
    x = 21,139,348,584,535,058,022,400/66,280,739,174
  6. Step 6: Final answer
    x = 318,936,524,365.55

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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.