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Finding the Third Proportional to 5,620,175,599,676 and 7,582,936,504,041

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Solution

The third proportional to 5,620,175,599,676 and 7,582,936,504,041 is: 10,231,161,821,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620,175,599,676 : 7,582,936,504,041 = 7,582,936,504,041 : x
  2. Step 2: Convert to fraction form
    5,620,175,599,676/7,582,936,504,041 = 7,582,936,504,041/x
  3. Step 3: Cross multiply
    5,620,175,599,676x = 7,582,936,504,041 × 7,582,936,504,041
  4. Step 4: Simplify right side
    5,620,175,599,676x = 57,500,926,024,317,541,564,809,216
  5. Step 5: Solve for x
    x = 57,500,926,024,317,541,564,809,216/5,620,175,599,676
  6. Step 6: Final answer
    x = 10,231,161,821,284.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.