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Finding the Third Proportional to 47,279,340 and 103,526,676

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Solution

The third proportional to 47,279,340 and 103,526,676 is: 226,690,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,279,340 : 103,526,676 = 103,526,676 : x
  2. Step 2: Convert to fraction form
    47,279,340/103,526,676 = 103,526,676/x
  3. Step 3: Cross multiply
    47,279,340x = 103,526,676 × 103,526,676
  4. Step 4: Simplify right side
    47,279,340x = 10,717,772,643,608,976
  5. Step 5: Solve for x
    x = 10,717,772,643,608,976/47,279,340
  6. Step 6: Final answer
    x = 226,690,403.11

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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.