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Finding the Third Proportional to 35,077,190,942 and 82,775,892,767

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Solution

The third proportional to 35,077,190,942 and 82,775,892,767 is: 195,336,292,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,077,190,942 : 82,775,892,767 = 82,775,892,767 : x
  2. Step 2: Convert to fraction form
    35,077,190,942/82,775,892,767 = 82,775,892,767/x
  3. Step 3: Cross multiply
    35,077,190,942x = 82,775,892,767 × 82,775,892,767
  4. Step 4: Simplify right side
    35,077,190,942x = 6,851,848,423,373,883,310,080
  5. Step 5: Solve for x
    x = 6,851,848,423,373,883,310,080/35,077,190,942
  6. Step 6: Final answer
    x = 195,336,292,313.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.