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Finding the Third Proportional to 35,077,190,946 and 82,775,892,777

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Solution

The third proportional to 35,077,190,946 and 82,775,892,777 is: 195,336,292,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,077,190,946 : 82,775,892,777 = 82,775,892,777 : x
  2. Step 2: Convert to fraction form
    35,077,190,946/82,775,892,777 = 82,775,892,777/x
  3. Step 3: Cross multiply
    35,077,190,946x = 82,775,892,777 × 82,775,892,777
  4. Step 4: Simplify right side
    35,077,190,946x = 6,851,848,425,029,400,264,704
  5. Step 5: Solve for x
    x = 6,851,848,425,029,400,264,704/35,077,190,946
  6. Step 6: Final answer
    x = 195,336,292,338.16

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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.