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Finding the Third Proportional to 38,986,601,959 and 85,447,190,962

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Solution

The third proportional to 38,986,601,959 and 85,447,190,962 is: 187,275,168,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,986,601,959 : 85,447,190,962 = 85,447,190,962 : x
  2. Step 2: Convert to fraction form
    38,986,601,959/85,447,190,962 = 85,447,190,962/x
  3. Step 3: Cross multiply
    38,986,601,959x = 85,447,190,962 × 85,447,190,962
  4. Step 4: Simplify right side
    38,986,601,959x = 7,301,222,443,296,494,714,880
  5. Step 5: Solve for x
    x = 7,301,222,443,296,494,714,880/38,986,601,959
  6. Step 6: Final answer
    x = 187,275,168,299.48

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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.