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Finding the Third Proportional to 47,932,116 and 104,832,327

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Solution

The third proportional to 47,932,116 and 104,832,327 is: 229,278,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,932,116 : 104,832,327 = 104,832,327 : x
  2. Step 2: Convert to fraction form
    47,932,116/104,832,327 = 104,832,327/x
  3. Step 3: Cross multiply
    47,932,116x = 104,832,327 × 104,832,327
  4. Step 4: Simplify right side
    47,932,116x = 10,989,816,784,234,928
  5. Step 5: Solve for x
    x = 10,989,816,784,234,928/47,932,116
  6. Step 6: Final answer
    x = 229,278,773.84

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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.