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Finding the Third Proportional to 181,535,010,753 and 271,301,977,842

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Solution

The third proportional to 181,535,010,753 and 271,301,977,842 is: 405,457,673,843.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,535,010,753 : 271,301,977,842 = 271,301,977,842 : x
  2. Step 2: Convert to fraction form
    181,535,010,753/271,301,977,842 = 271,301,977,842/x
  3. Step 3: Cross multiply
    181,535,010,753x = 271,301,977,842 × 271,301,977,842
  4. Step 4: Simplify right side
    181,535,010,753x = 73,604,763,180,981,060,370,432
  5. Step 5: Solve for x
    x = 73,604,763,180,981,060,370,432/181,535,010,753
  6. Step 6: Final answer
    x = 405,457,673,843.03

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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.