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Finding the Third Proportional to 8,765,961,424 and 18,773,107,232

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Solution

The third proportional to 8,765,961,424 and 18,773,107,232 is: 40,204,324,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765,961,424 : 18,773,107,232 = 18,773,107,232 : x
  2. Step 2: Convert to fraction form
    8,765,961,424/18,773,107,232 = 18,773,107,232/x
  3. Step 3: Cross multiply
    8,765,961,424x = 18,773,107,232 × 18,773,107,232
  4. Step 4: Simplify right side
    8,765,961,424x = 352,429,555,144,170,733,568
  5. Step 5: Solve for x
    x = 352,429,555,144,170,733,568/8,765,961,424
  6. Step 6: Final answer
    x = 40,204,324,214.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.