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Finding the Third Proportional to 81,913,671 and 175,983,735

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Solution

The third proportional to 81,913,671 and 175,983,735 is: 378,084,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,913,671 : 175,983,735 = 175,983,735 : x
  2. Step 2: Convert to fraction form
    81,913,671/175,983,735 = 175,983,735/x
  3. Step 3: Cross multiply
    81,913,671x = 175,983,735 × 175,983,735
  4. Step 4: Simplify right side
    81,913,671x = 30,970,274,984,550,224
  5. Step 5: Solve for x
    x = 30,970,274,984,550,224/81,913,671
  6. Step 6: Final answer
    x = 378,084,324.71

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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.