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Finding the Third Proportional to 8,381,364,604 and 18,250,764,016

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Solution

The third proportional to 8,381,364,604 and 18,250,764,016 is: 39,741,784,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381,364,604 : 18,250,764,016 = 18,250,764,016 : x
  2. Step 2: Convert to fraction form
    8,381,364,604/18,250,764,016 = 18,250,764,016/x
  3. Step 3: Cross multiply
    8,381,364,604x = 18,250,764,016 × 18,250,764,016
  4. Step 4: Simplify right side
    8,381,364,604x = 333,090,387,167,720,439,808
  5. Step 5: Solve for x
    x = 333,090,387,167,720,439,808/8,381,364,604
  6. Step 6: Final answer
    x = 39,741,784,650.29

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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.