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Finding the Third Proportional to 16,188,126,711 and 36,098,428,254

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Solution

The third proportional to 16,188,126,711 and 36,098,428,254 is: 80,497,054,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188,126,711 : 36,098,428,254 = 36,098,428,254 : x
  2. Step 2: Convert to fraction form
    16,188,126,711/36,098,428,254 = 36,098,428,254/x
  3. Step 3: Cross multiply
    16,188,126,711x = 36,098,428,254 × 36,098,428,254
  4. Step 4: Simplify right side
    16,188,126,711x = 1,303,096,522,409,185,378,304
  5. Step 5: Solve for x
    x = 1,303,096,522,409,185,378,304/16,188,126,711
  6. Step 6: Final answer
    x = 80,497,054,765.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.