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Finding the Third Proportional to 18,720,490,942,520 and 37,967,359,525,144

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Solution

The third proportional to 18,720,490,942,520 and 37,967,359,525,144 is: 77,002,274,872,899.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,720,490,942,520 : 37,967,359,525,144 = 37,967,359,525,144 : x
  2. Step 2: Convert to fraction form
    18,720,490,942,520/37,967,359,525,144 = 37,967,359,525,144/x
  3. Step 3: Cross multiply
    18,720,490,942,520x = 37,967,359,525,144 × 37,967,359,525,144
  4. Step 4: Simplify right side
    18,720,490,942,520x = 1,441,520,389,311,542,767,933,980,672
  5. Step 5: Solve for x
    x = 1,441,520,389,311,542,767,933,980,672/18,720,490,942,520
  6. Step 6: Final answer
    x = 77,002,274,872,899.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.