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Finding the Third Proportional to 37,906,397 and 81,865,194

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Solution

The third proportional to 37,906,397 and 81,865,194 is: 176,801,556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,906,397 : 81,865,194 = 81,865,194 : x
  2. Step 2: Convert to fraction form
    37,906,397/81,865,194 = 81,865,194/x
  3. Step 3: Cross multiply
    37,906,397x = 81,865,194 × 81,865,194
  4. Step 4: Simplify right side
    37,906,397x = 6,701,909,988,657,636
  5. Step 5: Solve for x
    x = 6,701,909,988,657,636/37,906,397
  6. Step 6: Final answer
    x = 176,801,556.44

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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.