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Finding the Third Proportional to 237,467,349 and 363,263,049

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Solution

The third proportional to 237,467,349 and 363,263,049 is: 555,697,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,467,349 : 363,263,049 = 363,263,049 : x
  2. Step 2: Convert to fraction form
    237,467,349/363,263,049 = 363,263,049/x
  3. Step 3: Cross multiply
    237,467,349x = 363,263,049 × 363,263,049
  4. Step 4: Simplify right side
    237,467,349x = 131,960,042,768,776,400
  5. Step 5: Solve for x
    x = 131,960,042,768,776,400/237,467,349
  6. Step 6: Final answer
    x = 555,697,628.85

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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.