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Finding the Third Proportional to 237,912,966 and 363,707,626

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Solution

The third proportional to 237,912,966 and 363,707,626 is: 556,015,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,912,966 : 363,707,626 = 363,707,626 : x
  2. Step 2: Convert to fraction form
    237,912,966/363,707,626 = 363,707,626/x
  3. Step 3: Cross multiply
    237,912,966x = 363,707,626 × 363,707,626
  4. Step 4: Simplify right side
    237,912,966x = 132,283,237,210,555,872
  5. Step 5: Solve for x
    x = 132,283,237,210,555,872/237,912,966
  6. Step 6: Final answer
    x = 556,015,249.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.