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Finding the Third Proportional to 34,052,401,512 and 79,561,775,016

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Solution

The third proportional to 34,052,401,512 and 79,561,775,016 is: 185,892,206,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,052,401,512 : 79,561,775,016 = 79,561,775,016 : x
  2. Step 2: Convert to fraction form
    34,052,401,512/79,561,775,016 = 79,561,775,016/x
  3. Step 3: Cross multiply
    34,052,401,512x = 79,561,775,016 × 79,561,775,016
  4. Step 4: Simplify right side
    34,052,401,512x = 6,330,076,043,696,601,563,136
  5. Step 5: Solve for x
    x = 6,330,076,043,696,601,563,136/34,052,401,512
  6. Step 6: Final answer
    x = 185,892,206,206.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.