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Finding the Third Proportional to 47,933,290 and 104,834,324

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Solution

The third proportional to 47,933,290 and 104,834,324 is: 229,281,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,933,290 : 104,834,324 = 104,834,324 : x
  2. Step 2: Convert to fraction form
    47,933,290/104,834,324 = 104,834,324/x
  3. Step 3: Cross multiply
    47,933,290x = 104,834,324 × 104,834,324
  4. Step 4: Simplify right side
    47,933,290x = 10,990,235,488,536,976
  5. Step 5: Solve for x
    x = 10,990,235,488,536,976/47,933,290
  6. Step 6: Final answer
    x = 229,281,893.41

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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.