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Finding the Third Proportional to 693,667,868.50 and 1,618,614,295.25

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Solution

The third proportional to 693,667,868.50 and 1,618,614,295.25 is: 3,776,897,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,667,868.50 : 1,618,614,295.25 = 1,618,614,295.25 : x
  2. Step 2: Convert to fraction form
    693,667,868.50/1,618,614,295.25 = 1,618,614,295.25/x
  3. Step 3: Cross multiply
    693,667,868.50x = 1,618,614,295.25 × 1,618,614,295.25
  4. Step 4: Simplify right side
    693,667,868.50x = 2,619,912,236,787,654,144
  5. Step 5: Solve for x
    x = 2,619,912,236,787,654,144/693,667,868.50
  6. Step 6: Final answer
    x = 3,776,897,209.40

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.