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Finding the Third Proportional to 47,372,079 and 103,659,468

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Solution

The third proportional to 47,372,079 and 103,659,468 is: 226,827,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,372,079 : 103,659,468 = 103,659,468 : x
  2. Step 2: Convert to fraction form
    47,372,079/103,659,468 = 103,659,468/x
  3. Step 3: Cross multiply
    47,372,079x = 103,659,468 × 103,659,468
  4. Step 4: Simplify right side
    47,372,079x = 10,745,285,306,043,024
  5. Step 5: Solve for x
    x = 10,745,285,306,043,024/47,372,079
  6. Step 6: Final answer
    x = 226,827,395.65

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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.