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Finding the Third Proportional to 4,844,934 and 10,492,497

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Solution

The third proportional to 4,844,934 and 10,492,497 is: 22,723,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844,934 : 10,492,497 = 10,492,497 : x
  2. Step 2: Convert to fraction form
    4,844,934/10,492,497 = 10,492,497/x
  3. Step 3: Cross multiply
    4,844,934x = 10,492,497 × 10,492,497
  4. Step 4: Simplify right side
    4,844,934x = 110,092,493,295,009
  5. Step 5: Solve for x
    x = 110,092,493,295,009/4,844,934
  6. Step 6: Final answer
    x = 22,723,218.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.