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Finding the Third Proportional to 8,502,811,612 and 11,968,614,756

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Solution

The third proportional to 8,502,811,612 and 11,968,614,756 is: 16,847,102,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502,811,612 : 11,968,614,756 = 11,968,614,756 : x
  2. Step 2: Convert to fraction form
    8,502,811,612/11,968,614,756 = 11,968,614,756/x
  3. Step 3: Cross multiply
    8,502,811,612x = 11,968,614,756 × 11,968,614,756
  4. Step 4: Simplify right side
    8,502,811,612x = 143,247,739,177,540,943,872
  5. Step 5: Solve for x
    x = 143,247,739,177,540,943,872/8,502,811,612
  6. Step 6: Final answer
    x = 16,847,102,548.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.