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Finding the Third Proportional to 41,781,824 and 91,634,919

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Solution

The third proportional to 41,781,824 and 91,634,919 is: 200,971,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,781,824 : 91,634,919 = 91,634,919 : x
  2. Step 2: Convert to fraction form
    41,781,824/91,634,919 = 91,634,919/x
  3. Step 3: Cross multiply
    41,781,824x = 91,634,919 × 91,634,919
  4. Step 4: Simplify right side
    41,781,824x = 8,396,958,380,136,561
  5. Step 5: Solve for x
    x = 8,396,958,380,136,561/41,781,824
  6. Step 6: Final answer
    x = 200,971,560.75

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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.