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Finding the Third Proportional to 2,193,163 and 4,890,603.50

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Solution

The third proportional to 2,193,163 and 4,890,603.50 is: 10,905,711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193,163 : 4,890,603.50 = 4,890,603.50 : x
  2. Step 2: Convert to fraction form
    2,193,163/4,890,603.50 = 4,890,603.50/x
  3. Step 3: Cross multiply
    2,193,163x = 4,890,603.50 × 4,890,603.50
  4. Step 4: Simplify right side
    2,193,163x = 23,918,002,594,212.25
  5. Step 5: Solve for x
    x = 23,918,002,594,212.25/2,193,163
  6. Step 6: Final answer
    x = 10,905,711.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.