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Finding the Third Proportional to 71,972,766 and 155,414,064

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Solution

The third proportional to 71,972,766 and 155,414,064 is: 335,592,650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,972,766 : 155,414,064 = 155,414,064 : x
  2. Step 2: Convert to fraction form
    71,972,766/155,414,064 = 155,414,064/x
  3. Step 3: Cross multiply
    71,972,766x = 155,414,064 × 155,414,064
  4. Step 4: Simplify right side
    71,972,766x = 24,153,531,288,996,096
  5. Step 5: Solve for x
    x = 24,153,531,288,996,096/71,972,766
  6. Step 6: Final answer
    x = 335,592,650.27

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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.