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Finding the Third Proportional to 37,892,108,201 and 81,531,254,311

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Solution

The third proportional to 37,892,108,201 and 81,531,254,311 is: 175,428,228,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,892,108,201 : 81,531,254,311 = 81,531,254,311 : x
  2. Step 2: Convert to fraction form
    37,892,108,201/81,531,254,311 = 81,531,254,311/x
  3. Step 3: Cross multiply
    37,892,108,201x = 81,531,254,311 × 81,531,254,311
  4. Step 4: Simplify right side
    37,892,108,201x = 6,647,345,429,524,956,315,648
  5. Step 5: Solve for x
    x = 6,647,345,429,524,956,315,648/37,892,108,201
  6. Step 6: Final answer
    x = 175,428,228,861.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.