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Finding the Third Proportional to 127,092,138,876 and 276,523,924,874

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Solution

The third proportional to 127,092,138,876 and 276,523,924,874 is: 601,653,900,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,092,138,876 : 276,523,924,874 = 276,523,924,874 : x
  2. Step 2: Convert to fraction form
    127,092,138,876/276,523,924,874 = 276,523,924,874/x
  3. Step 3: Cross multiply
    127,092,138,876x = 276,523,924,874 × 276,523,924,874
  4. Step 4: Simplify right side
    127,092,138,876x = 76,465,481,027,721,596,239,872
  5. Step 5: Solve for x
    x = 76,465,481,027,721,596,239,872/127,092,138,876
  6. Step 6: Final answer
    x = 601,653,900,107.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.