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Finding the Third Proportional to 8,942,124,651,600 and 19,451,002,002,720

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Solution

The third proportional to 8,942,124,651,600 and 19,451,002,002,720 is: 42,310,020,677,481.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942,124,651,600 : 19,451,002,002,720 = 19,451,002,002,720 : x
  2. Step 2: Convert to fraction form
    8,942,124,651,600/19,451,002,002,720 = 19,451,002,002,720/x
  3. Step 3: Cross multiply
    8,942,124,651,600x = 19,451,002,002,720 × 19,451,002,002,720
  4. Step 4: Simplify right side
    8,942,124,651,600x = 378,341,478,909,817,474,435,252,224
  5. Step 5: Solve for x
    x = 378,341,478,909,817,474,435,252,224/8,942,124,651,600
  6. Step 6: Final answer
    x = 42,310,020,677,481.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.