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Finding the Third Proportional to 60,613,380 and 132,961,824

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Solution

The third proportional to 60,613,380 and 132,961,824 is: 291,665,745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,613,380 : 132,961,824 = 132,961,824 : x
  2. Step 2: Convert to fraction form
    60,613,380/132,961,824 = 132,961,824/x
  3. Step 3: Cross multiply
    60,613,380x = 132,961,824 × 132,961,824
  4. Step 4: Simplify right side
    60,613,380x = 17,678,846,641,406,976
  5. Step 5: Solve for x
    x = 17,678,846,641,406,976/60,613,380
  6. Step 6: Final answer
    x = 291,665,745.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.