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Finding the Third Proportional to 3,194,148,428,296 and 7,102,462,861,112

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Solution

The third proportional to 3,194,148,428,296 and 7,102,462,861,112 is: 15,792,935,057,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,148,428,296 : 7,102,462,861,112 = 7,102,462,861,112 : x
  2. Step 2: Convert to fraction form
    3,194,148,428,296/7,102,462,861,112 = 7,102,462,861,112/x
  3. Step 3: Cross multiply
    3,194,148,428,296x = 7,102,462,861,112 × 7,102,462,861,112
  4. Step 4: Simplify right side
    3,194,148,428,296x = 50,444,978,693,475,259,188,772,864
  5. Step 5: Solve for x
    x = 50,444,978,693,475,259,188,772,864/3,194,148,428,296
  6. Step 6: Final answer
    x = 15,792,935,057,932.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.