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Finding the Third Proportional to 769,219,212 and 1,814,016,414

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Solution

The third proportional to 769,219,212 and 1,814,016,414 is: 4,277,916,488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,219,212 : 1,814,016,414 = 1,814,016,414 : x
  2. Step 2: Convert to fraction form
    769,219,212/1,814,016,414 = 1,814,016,414/x
  3. Step 3: Cross multiply
    769,219,212x = 1,814,016,414 × 1,814,016,414
  4. Step 4: Simplify right side
    769,219,212x = 3,290,655,550,261,419,520
  5. Step 5: Solve for x
    x = 3,290,655,550,261,419,520/769,219,212
  6. Step 6: Final answer
    x = 4,277,916,488.47

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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.