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Finding the Third Proportional to 273,240,950 and 422,629,623

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Solution

The third proportional to 273,240,950 and 422,629,623 is: 653,693,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,240,950 : 422,629,623 = 422,629,623 : x
  2. Step 2: Convert to fraction form
    273,240,950/422,629,623 = 422,629,623/x
  3. Step 3: Cross multiply
    273,240,950x = 422,629,623 × 422,629,623
  4. Step 4: Simplify right side
    273,240,950x = 178,615,798,237,122,144
  5. Step 5: Solve for x
    x = 178,615,798,237,122,144/273,240,950
  6. Step 6: Final answer
    x = 653,693,372.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.