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Finding the Third Proportional to 46,325,896 and 100,277,456

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Solution

The third proportional to 46,325,896 and 100,277,456 is: 217,061,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,325,896 : 100,277,456 = 100,277,456 : x
  2. Step 2: Convert to fraction form
    46,325,896/100,277,456 = 100,277,456/x
  3. Step 3: Cross multiply
    46,325,896x = 100,277,456 × 100,277,456
  4. Step 4: Simplify right side
    46,325,896x = 10,055,568,181,831,936
  5. Step 5: Solve for x
    x = 10,055,568,181,831,936/46,325,896
  6. Step 6: Final answer
    x = 217,061,493.68

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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.