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Finding the Third Proportional to 37,906,411.50 and 81,865,224

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Solution

The third proportional to 37,906,411.50 and 81,865,224 is: 176,801,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,906,411.50 : 81,865,224 = 81,865,224 : x
  2. Step 2: Convert to fraction form
    37,906,411.50/81,865,224 = 81,865,224/x
  3. Step 3: Cross multiply
    37,906,411.50x = 81,865,224 × 81,865,224
  4. Step 4: Simplify right side
    37,906,411.50x = 6,701,914,900,570,176
  5. Step 5: Solve for x
    x = 6,701,914,900,570,176/37,906,411.50
  6. Step 6: Final answer
    x = 176,801,618.39

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Why These Related Problems?

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