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Finding the Third Proportional to 27,640,005 and 43,355,054

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Solution

The third proportional to 27,640,005 and 43,355,054 is: 68,005,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,640,005 : 43,355,054 = 43,355,054 : x
  2. Step 2: Convert to fraction form
    27,640,005/43,355,054 = 43,355,054/x
  3. Step 3: Cross multiply
    27,640,005x = 43,355,054 × 43,355,054
  4. Step 4: Simplify right side
    27,640,005x = 1,879,660,707,342,916
  5. Step 5: Solve for x
    x = 1,879,660,707,342,916/27,640,005
  6. Step 6: Final answer
    x = 68,005,078.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.