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Finding the Third Proportional to 37,629,785 and 79,781,206

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Solution

The third proportional to 37,629,785 and 79,781,206 is: 169,149,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,629,785 : 79,781,206 = 79,781,206 : x
  2. Step 2: Convert to fraction form
    37,629,785/79,781,206 = 79,781,206/x
  3. Step 3: Cross multiply
    37,629,785x = 79,781,206 × 79,781,206
  4. Step 4: Simplify right side
    37,629,785x = 6,365,040,830,814,436
  5. Step 5: Solve for x
    x = 6,365,040,830,814,436/37,629,785
  6. Step 6: Final answer
    x = 169,149,008.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.