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Finding the Third Proportional to 75,593,910,411 and 161,970,259,860

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Solution

The third proportional to 75,593,910,411 and 161,970,259,860 is: 347,043,365,483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,593,910,411 : 161,970,259,860 = 161,970,259,860 : x
  2. Step 2: Convert to fraction form
    75,593,910,411/161,970,259,860 = 161,970,259,860/x
  3. Step 3: Cross multiply
    75,593,910,411x = 161,970,259,860 × 161,970,259,860
  4. Step 4: Simplify right side
    75,593,910,411x = 26,234,365,079,115,928,698,880
  5. Step 5: Solve for x
    x = 26,234,365,079,115,928,698,880/75,593,910,411
  6. Step 6: Final answer
    x = 347,043,365,483.82

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