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Finding the Third Proportional to 479,411,241,849 and 1,043,218,195,906

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Solution

The third proportional to 479,411,241,849 and 1,043,218,195,906 is: 2,270,084,865,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,411,241,849 : 1,043,218,195,906 = 1,043,218,195,906 : x
  2. Step 2: Convert to fraction form
    479,411,241,849/1,043,218,195,906 = 1,043,218,195,906/x
  3. Step 3: Cross multiply
    479,411,241,849x = 1,043,218,195,906 × 1,043,218,195,906
  4. Step 4: Simplify right side
    479,411,241,849x = 1,088,304,204,269,369,394,462,720
  5. Step 5: Solve for x
    x = 1,088,304,204,269,369,394,462,720/479,411,241,849
  6. Step 6: Final answer
    x = 2,270,084,865,077.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.