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Finding the Third Proportional to 75,593,912,791.50 and 161,970,264,426

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Solution

The third proportional to 75,593,912,791.50 and 161,970,264,426 is: 347,043,374,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,593,912,791.50 : 161,970,264,426 = 161,970,264,426 : x
  2. Step 2: Convert to fraction form
    75,593,912,791.50/161,970,264,426 = 161,970,264,426/x
  3. Step 3: Cross multiply
    75,593,912,791.50x = 161,970,264,426 × 161,970,264,426
  4. Step 4: Simplify right side
    75,593,912,791.50x = 26,234,366,558,228,359,151,616
  5. Step 5: Solve for x
    x = 26,234,366,558,228,359,151,616/75,593,912,791.50
  6. Step 6: Final answer
    x = 347,043,374,121.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.