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Finding the Third Proportional to 4,894,756 and 10,498,092

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Solution

The third proportional to 4,894,756 and 10,498,092 is: 22,515,920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894,756 : 10,498,092 = 10,498,092 : x
  2. Step 2: Convert to fraction form
    4,894,756/10,498,092 = 10,498,092/x
  3. Step 3: Cross multiply
    4,894,756x = 10,498,092 × 10,498,092
  4. Step 4: Simplify right side
    4,894,756x = 110,209,935,640,464
  5. Step 5: Solve for x
    x = 110,209,935,640,464/4,894,756
  6. Step 6: Final answer
    x = 22,515,920.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.