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Finding the Third Proportional to 269,771,198 and 636,619,787

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Solution

The third proportional to 269,771,198 and 636,619,787 is: 1,502,327,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,771,198 : 636,619,787 = 636,619,787 : x
  2. Step 2: Convert to fraction form
    269,771,198/636,619,787 = 636,619,787/x
  3. Step 3: Cross multiply
    269,771,198x = 636,619,787 × 636,619,787
  4. Step 4: Simplify right side
    269,771,198x = 405,284,753,199,925,376
  5. Step 5: Solve for x
    x = 405,284,753,199,925,376/269,771,198
  6. Step 6: Final answer
    x = 1,502,327,736.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.