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Finding the Third Proportional to 769,351,182 and 1,814,343,872

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Solution

The third proportional to 769,351,182 and 1,814,343,872 is: 4,278,727,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,351,182 : 1,814,343,872 = 1,814,343,872 : x
  2. Step 2: Convert to fraction form
    769,351,182/1,814,343,872 = 1,814,343,872/x
  3. Step 3: Cross multiply
    769,351,182x = 1,814,343,872 × 1,814,343,872
  4. Step 4: Simplify right side
    769,351,182x = 3,291,843,685,863,952,384
  5. Step 5: Solve for x
    x = 3,291,843,685,863,952,384/769,351,182
  6. Step 6: Final answer
    x = 4,278,727,014.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.