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Finding the Third Proportional to 272,550,751,178 and 596,394,061,912

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Solution

The third proportional to 272,550,751,178 and 596,394,061,912 is: 1,305,026,221,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,550,751,178 : 596,394,061,912 = 596,394,061,912 : x
  2. Step 2: Convert to fraction form
    272,550,751,178/596,394,061,912 = 596,394,061,912/x
  3. Step 3: Cross multiply
    272,550,751,178x = 596,394,061,912 × 596,394,061,912
  4. Step 4: Simplify right side
    272,550,751,178x = 355,685,877,083,894,494,265,344
  5. Step 5: Solve for x
    x = 355,685,877,083,894,494,265,344/272,550,751,178
  6. Step 6: Final answer
    x = 1,305,026,221,892.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.