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Finding the Third Proportional to 30,245,344,903,806 and 65,077,954,861,422

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Solution

The third proportional to 30,245,344,903,806 and 65,077,954,861,422 is: 140,026,183,282,583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,245,344,903,806 : 65,077,954,861,422 = 65,077,954,861,422 : x
  2. Step 2: Convert to fraction form
    30,245,344,903,806/65,077,954,861,422 = 65,077,954,861,422/x
  3. Step 3: Cross multiply
    30,245,344,903,806x = 65,077,954,861,422 × 65,077,954,861,422
  4. Step 4: Simplify right side
    30,245,344,903,806x = 4,235,140,208,945,279,540,421,197,824
  5. Step 5: Solve for x
    x = 4,235,140,208,945,279,540,421,197,824/30,245,344,903,806
  6. Step 6: Final answer
    x = 140,026,183,282,583.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.