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Finding the Third Proportional to 72,560,016 and 157,874,064

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Solution

The third proportional to 72,560,016 and 157,874,064 is: 343,497,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,560,016 : 157,874,064 = 157,874,064 : x
  2. Step 2: Convert to fraction form
    72,560,016/157,874,064 = 157,874,064/x
  3. Step 3: Cross multiply
    72,560,016x = 157,874,064 × 157,874,064
  4. Step 4: Simplify right side
    72,560,016x = 24,924,220,083,876,096
  5. Step 5: Solve for x
    x = 24,924,220,083,876,096/72,560,016
  6. Step 6: Final answer
    x = 343,497,995.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.