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Finding the Third Proportional to 767,885,256 and 1,236,548,268

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Solution

The third proportional to 767,885,256 and 1,236,548,268 is: 1,991,250,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,885,256 : 1,236,548,268 = 1,236,548,268 : x
  2. Step 2: Convert to fraction form
    767,885,256/1,236,548,268 = 1,236,548,268/x
  3. Step 3: Cross multiply
    767,885,256x = 1,236,548,268 × 1,236,548,268
  4. Step 4: Simplify right side
    767,885,256x = 1,529,051,619,093,799,936
  5. Step 5: Solve for x
    x = 1,529,051,619,093,799,936/767,885,256
  6. Step 6: Final answer
    x = 1,991,250,134.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.