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Finding the Third Proportional to 53,467,782 and 114,609,267

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Solution

The third proportional to 53,467,782 and 114,609,267 is: 245,667,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,467,782 : 114,609,267 = 114,609,267 : x
  2. Step 2: Convert to fraction form
    53,467,782/114,609,267 = 114,609,267/x
  3. Step 3: Cross multiply
    53,467,782x = 114,609,267 × 114,609,267
  4. Step 4: Simplify right side
    53,467,782x = 13,135,284,082,277,288
  5. Step 5: Solve for x
    x = 13,135,284,082,277,288/53,467,782
  6. Step 6: Final answer
    x = 245,667,270.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.