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Finding the Third Proportional to 167,124,372,012 and 367,080,780,267

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Solution

The third proportional to 167,124,372,012 and 367,080,780,267 is: 806,275,575,603.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,124,372,012 : 367,080,780,267 = 367,080,780,267 : x
  2. Step 2: Convert to fraction form
    167,124,372,012/367,080,780,267 = 367,080,780,267/x
  3. Step 3: Cross multiply
    167,124,372,012x = 367,080,780,267 × 367,080,780,267
  4. Step 4: Simplify right side
    167,124,372,012x = 134,748,299,241,429,544,206,336
  5. Step 5: Solve for x
    x = 134,748,299,241,429,544,206,336/167,124,372,012
  6. Step 6: Final answer
    x = 806,275,575,603.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.