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Finding the Third Proportional to 521,531,496 and 1,105,241,504

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Solution

The third proportional to 521,531,496 and 1,105,241,504 is: 2,342,253,136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,531,496 : 1,105,241,504 = 1,105,241,504 : x
  2. Step 2: Convert to fraction form
    521,531,496/1,105,241,504 = 1,105,241,504/x
  3. Step 3: Cross multiply
    521,531,496x = 1,105,241,504 × 1,105,241,504
  4. Step 4: Simplify right side
    521,531,496x = 1,221,558,782,164,182,016
  5. Step 5: Solve for x
    x = 1,221,558,782,164,182,016/521,531,496
  6. Step 6: Final answer
    x = 2,342,253,136.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.