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Finding the Third Proportional to 769,219,204 and 1,814,016,394

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Solution

The third proportional to 769,219,204 and 1,814,016,394 is: 4,277,916,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,219,204 : 1,814,016,394 = 1,814,016,394 : x
  2. Step 2: Convert to fraction form
    769,219,204/1,814,016,394 = 1,814,016,394/x
  3. Step 3: Cross multiply
    769,219,204x = 1,814,016,394 × 1,814,016,394
  4. Step 4: Simplify right side
    769,219,204x = 3,290,655,477,700,763,136
  5. Step 5: Solve for x
    x = 3,290,655,477,700,763,136/769,219,204
  6. Step 6: Final answer
    x = 4,277,916,438.63

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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.