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Finding the Third Proportional to 301,912,629 and 658,480,029

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Solution

The third proportional to 301,912,629 and 658,480,029 is: 1,436,163,667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,912,629 : 658,480,029 = 658,480,029 : x
  2. Step 2: Convert to fraction form
    301,912,629/658,480,029 = 658,480,029/x
  3. Step 3: Cross multiply
    301,912,629x = 658,480,029 × 658,480,029
  4. Step 4: Simplify right side
    301,912,629x = 433,595,948,591,840,832
  5. Step 5: Solve for x
    x = 433,595,948,591,840,832/301,912,629
  6. Step 6: Final answer
    x = 1,436,163,667.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.