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Finding the Third Proportional to 181,535,010,755 and 271,301,977,845

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Solution

The third proportional to 181,535,010,755 and 271,301,977,845 is: 405,457,673,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,535,010,755 : 271,301,977,845 = 271,301,977,845 : x
  2. Step 2: Convert to fraction form
    181,535,010,755/271,301,977,845 = 271,301,977,845/x
  3. Step 3: Cross multiply
    181,535,010,755x = 271,301,977,845 × 271,301,977,845
  4. Step 4: Simplify right side
    181,535,010,755x = 73,604,763,182,608,869,752,832
  5. Step 5: Solve for x
    x = 73,604,763,182,608,869,752,832/181,535,010,755
  6. Step 6: Final answer
    x = 405,457,673,847.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.