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Finding the Third Proportional to 75,593,912,800 and 161,970,264,442

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Solution

The third proportional to 75,593,912,800 and 161,970,264,442 is: 347,043,374,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,593,912,800 : 161,970,264,442 = 161,970,264,442 : x
  2. Step 2: Convert to fraction form
    75,593,912,800/161,970,264,442 = 161,970,264,442/x
  3. Step 3: Cross multiply
    75,593,912,800x = 161,970,264,442 × 161,970,264,442
  4. Step 4: Simplify right side
    75,593,912,800x = 26,234,366,563,411,411,599,360
  5. Step 5: Solve for x
    x = 26,234,366,563,411,411,599,360/75,593,912,800
  6. Step 6: Final answer
    x = 347,043,374,151.30

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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.