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Finding the Third Proportional to 47,445,786 and 103,591,458

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Solution

The third proportional to 47,445,786 and 103,591,458 is: 226,177,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,445,786 : 103,591,458 = 103,591,458 : x
  2. Step 2: Convert to fraction form
    47,445,786/103,591,458 = 103,591,458/x
  3. Step 3: Cross multiply
    47,445,786x = 103,591,458 × 103,591,458
  4. Step 4: Simplify right side
    47,445,786x = 10,731,190,170,565,764
  5. Step 5: Solve for x
    x = 10,731,190,170,565,764/47,445,786
  6. Step 6: Final answer
    x = 226,177,940.66

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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.