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Finding the Third Proportional to 35,546,173,976 and 76,441,924,912

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Solution

The third proportional to 35,546,173,976 and 76,441,924,912 is: 164,388,096,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,546,173,976 : 76,441,924,912 = 76,441,924,912 : x
  2. Step 2: Convert to fraction form
    35,546,173,976/76,441,924,912 = 76,441,924,912/x
  3. Step 3: Cross multiply
    35,546,173,976x = 76,441,924,912 × 76,441,924,912
  4. Step 4: Simplify right side
    35,546,173,976x = 5,843,367,884,251,846,410,240
  5. Step 5: Solve for x
    x = 5,843,367,884,251,846,410,240/35,546,173,976
  6. Step 6: Final answer
    x = 164,388,096,682.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.