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Finding the Third Proportional to 75,665,007 and 157,368,848

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Solution

The third proportional to 75,665,007 and 157,368,848 is: 327,297,324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,665,007 : 157,368,848 = 157,368,848 : x
  2. Step 2: Convert to fraction form
    75,665,007/157,368,848 = 157,368,848/x
  3. Step 3: Cross multiply
    75,665,007x = 157,368,848 × 157,368,848
  4. Step 4: Simplify right side
    75,665,007x = 24,764,954,320,847,104
  5. Step 5: Solve for x
    x = 24,764,954,320,847,104/75,665,007
  6. Step 6: Final answer
    x = 327,297,324.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.