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Finding the Third Proportional to 39,468,863,742.50 and 85,228,379,857

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Solution

The third proportional to 39,468,863,742.50 and 85,228,379,857 is: 184,040,685,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,468,863,742.50 : 85,228,379,857 = 85,228,379,857 : x
  2. Step 2: Convert to fraction form
    39,468,863,742.50/85,228,379,857 = 85,228,379,857/x
  3. Step 3: Cross multiply
    39,468,863,742.50x = 85,228,379,857 × 85,228,379,857
  4. Step 4: Simplify right side
    39,468,863,742.50x = 7,263,876,733,049,083,265,024
  5. Step 5: Solve for x
    x = 7,263,876,733,049,083,265,024/39,468,863,742.50
  6. Step 6: Final answer
    x = 184,040,685,347.31

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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.