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Finding the Third Proportional to 81,236,064 and 175,847,616

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Solution

The third proportional to 81,236,064 and 175,847,616 is: 380,648,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,236,064 : 175,847,616 = 175,847,616 : x
  2. Step 2: Convert to fraction form
    81,236,064/175,847,616 = 175,847,616/x
  3. Step 3: Cross multiply
    81,236,064x = 175,847,616 × 175,847,616
  4. Step 4: Simplify right side
    81,236,064x = 30,922,384,052,883,456
  5. Step 5: Solve for x
    x = 30,922,384,052,883,456/81,236,064
  6. Step 6: Final answer
    x = 380,648,477.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.