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Finding the Third Proportional to 267,203,436 and 413,734,692

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Solution

The third proportional to 267,203,436 and 413,734,692 is: 640,621,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,203,436 : 413,734,692 = 413,734,692 : x
  2. Step 2: Convert to fraction form
    267,203,436/413,734,692 = 413,734,692/x
  3. Step 3: Cross multiply
    267,203,436x = 413,734,692 × 413,734,692
  4. Step 4: Simplify right side
    267,203,436x = 171,176,395,364,334,848
  5. Step 5: Solve for x
    x = 171,176,395,364,334,848/267,203,436
  6. Step 6: Final answer
    x = 640,621,984.23

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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.