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Finding the Third Proportional to 8,381,364,600 and 18,250,764,008

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Solution

The third proportional to 8,381,364,600 and 18,250,764,008 is: 39,741,784,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381,364,600 : 18,250,764,008 = 18,250,764,008 : x
  2. Step 2: Convert to fraction form
    8,381,364,600/18,250,764,008 = 18,250,764,008/x
  3. Step 3: Cross multiply
    8,381,364,600x = 18,250,764,008 × 18,250,764,008
  4. Step 4: Simplify right side
    8,381,364,600x = 333,090,386,875,708,211,200
  5. Step 5: Solve for x
    x = 333,090,386,875,708,211,200/8,381,364,600
  6. Step 6: Final answer
    x = 39,741,784,634.41

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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.