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Finding the Third Proportional to 10,110,909,955.50 and 21,981,677,832

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Solution

The third proportional to 10,110,909,955.50 and 21,981,677,832 is: 47,789,384,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,110,909,955.50 : 21,981,677,832 = 21,981,677,832 : x
  2. Step 2: Convert to fraction form
    10,110,909,955.50/21,981,677,832 = 21,981,677,832/x
  3. Step 3: Cross multiply
    10,110,909,955.50x = 21,981,677,832 × 21,981,677,832
  4. Step 4: Simplify right side
    10,110,909,955.50x = 483,194,160,309,840,248,832
  5. Step 5: Solve for x
    x = 483,194,160,309,840,248,832/10,110,909,955.50
  6. Step 6: Final answer
    x = 47,789,384,183.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.