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Finding the Third Proportional to 66,280,739,100 and 145,393,770,672

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Solution

The third proportional to 66,280,739,100 and 145,393,770,672 is: 318,936,524,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,280,739,100 : 145,393,770,672 = 145,393,770,672 : x
  2. Step 2: Convert to fraction form
    66,280,739,100/145,393,770,672 = 145,393,770,672/x
  3. Step 3: Cross multiply
    66,280,739,100x = 145,393,770,672 × 145,393,770,672
  4. Step 4: Simplify right side
    66,280,739,100x = 21,139,348,550,222,128,087,040
  5. Step 5: Solve for x
    x = 21,139,348,550,222,128,087,040/66,280,739,100
  6. Step 6: Final answer
    x = 318,936,524,203.94

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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.