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Finding the Third Proportional to 39,781,048 and 85,683,266

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Solution

The third proportional to 39,781,048 and 85,683,266 is: 184,550,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,781,048 : 85,683,266 = 85,683,266 : x
  2. Step 2: Convert to fraction form
    39,781,048/85,683,266 = 85,683,266/x
  3. Step 3: Cross multiply
    39,781,048x = 85,683,266 × 85,683,266
  4. Step 4: Simplify right side
    39,781,048x = 7,341,622,072,426,756
  5. Step 5: Solve for x
    x = 7,341,622,072,426,756/39,781,048
  6. Step 6: Final answer
    x = 184,550,745.68

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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.