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Finding the Third Proportional to 16,250,489,161.50 and 22,884,269,724

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Solution

The third proportional to 16,250,489,161.50 and 22,884,269,724 is: 32,226,094,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,250,489,161.50 : 22,884,269,724 = 22,884,269,724 : x
  2. Step 2: Convert to fraction form
    16,250,489,161.50/22,884,269,724 = 22,884,269,724/x
  3. Step 3: Cross multiply
    16,250,489,161.50x = 22,884,269,724 × 22,884,269,724
  4. Step 4: Simplify right side
    16,250,489,161.50x = 523,689,800,800,783,040,512
  5. Step 5: Solve for x
    x = 523,689,800,800,783,040,512/16,250,489,161.50
  6. Step 6: Final answer
    x = 32,226,094,586.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.