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Finding the Third Proportional to 269,771,196 and 636,619,782

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Solution

The third proportional to 269,771,196 and 636,619,782 is: 1,502,327,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,771,196 : 636,619,782 = 636,619,782 : x
  2. Step 2: Convert to fraction form
    269,771,196/636,619,782 = 636,619,782/x
  3. Step 3: Cross multiply
    269,771,196x = 636,619,782 × 636,619,782
  4. Step 4: Simplify right side
    269,771,196x = 405,284,746,833,727,552
  5. Step 5: Solve for x
    x = 405,284,746,833,727,552/269,771,196
  6. Step 6: Final answer
    x = 1,502,327,723.80

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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.