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Finding the Third Proportional to 16,250,489,165 and 22,884,269,728

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Solution

The third proportional to 16,250,489,165 and 22,884,269,728 is: 32,226,094,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,250,489,165 : 22,884,269,728 = 22,884,269,728 : x
  2. Step 2: Convert to fraction form
    16,250,489,165/22,884,269,728 = 22,884,269,728/x
  3. Step 3: Cross multiply
    16,250,489,165x = 22,884,269,728 × 22,884,269,728
  4. Step 4: Simplify right side
    16,250,489,165x = 523,689,800,983,857,201,152
  5. Step 5: Solve for x
    x = 523,689,800,983,857,201,152/16,250,489,165
  6. Step 6: Final answer
    x = 32,226,094,591.16

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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.