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Finding the Third Proportional to 39,609,974 and 85,076,874

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Solution

The third proportional to 39,609,974 and 85,076,874 is: 182,733,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,609,974 : 85,076,874 = 85,076,874 : x
  2. Step 2: Convert to fraction form
    39,609,974/85,076,874 = 85,076,874/x
  3. Step 3: Cross multiply
    39,609,974x = 85,076,874 × 85,076,874
  4. Step 4: Simplify right side
    39,609,974x = 7,238,074,489,611,876
  5. Step 5: Solve for x
    x = 7,238,074,489,611,876/39,609,974
  6. Step 6: Final answer
    x = 182,733,633.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.