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Finding the Third Proportional to 24,171,359,049 and 52,016,039,383.50

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Solution

The third proportional to 24,171,359,049 and 52,016,039,383.50 is: 111,936,955,951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,171,359,049 : 52,016,039,383.50 = 52,016,039,383.50 : x
  2. Step 2: Convert to fraction form
    24,171,359,049/52,016,039,383.50 = 52,016,039,383.50/x
  3. Step 3: Cross multiply
    24,171,359,049x = 52,016,039,383.50 × 52,016,039,383.50
  4. Step 4: Simplify right side
    24,171,359,049x = 2,705,668,353,145,823,035,392
  5. Step 5: Solve for x
    x = 2,705,668,353,145,823,035,392/24,171,359,049
  6. Step 6: Final answer
    x = 111,936,955,951.09

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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.