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Finding the Third Proportional to 39,468,863,742 and 85,228,379,856

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Solution

The third proportional to 39,468,863,742 and 85,228,379,856 is: 184,040,685,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,468,863,742 : 85,228,379,856 = 85,228,379,856 : x
  2. Step 2: Convert to fraction form
    39,468,863,742/85,228,379,856 = 85,228,379,856/x
  3. Step 3: Cross multiply
    39,468,863,742x = 85,228,379,856 × 85,228,379,856
  4. Step 4: Simplify right side
    39,468,863,742x = 7,263,876,732,878,626,750,464
  5. Step 5: Solve for x
    x = 7,263,876,732,878,626,750,464/39,468,863,742
  6. Step 6: Final answer
    x = 184,040,685,345.32

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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.