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Finding the Third Proportional to 8,716,263,124 and 12,230,642,638

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Solution

The third proportional to 8,716,263,124 and 12,230,642,638 is: 17,162,012,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716,263,124 : 12,230,642,638 = 12,230,642,638 : x
  2. Step 2: Convert to fraction form
    8,716,263,124/12,230,642,638 = 12,230,642,638/x
  3. Step 3: Cross multiply
    8,716,263,124x = 12,230,642,638 × 12,230,642,638
  4. Step 4: Simplify right side
    8,716,263,124x = 149,588,619,338,463,608,832
  5. Step 5: Solve for x
    x = 149,588,619,338,463,608,832/8,716,263,124
  6. Step 6: Final answer
    x = 17,162,012,804.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.