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Finding the Third Proportional to 37,265,232 and 81,439,224

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Solution

The third proportional to 37,265,232 and 81,439,224 is: 177,976,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,265,232 : 81,439,224 = 81,439,224 : x
  2. Step 2: Convert to fraction form
    37,265,232/81,439,224 = 81,439,224/x
  3. Step 3: Cross multiply
    37,265,232x = 81,439,224 × 81,439,224
  4. Step 4: Simplify right side
    37,265,232x = 6,632,347,205,722,176
  5. Step 5: Solve for x
    x = 6,632,347,205,722,176/37,265,232
  6. Step 6: Final answer
    x = 177,976,812.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.