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Finding the Third Proportional to 4,752,783 and 10,222,065

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Solution

The third proportional to 4,752,783 and 10,222,065 is: 21,985,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752,783 : 10,222,065 = 10,222,065 : x
  2. Step 2: Convert to fraction form
    4,752,783/10,222,065 = 10,222,065/x
  3. Step 3: Cross multiply
    4,752,783x = 10,222,065 × 10,222,065
  4. Step 4: Simplify right side
    4,752,783x = 104,490,612,864,225
  5. Step 5: Solve for x
    x = 104,490,612,864,225/4,752,783
  6. Step 6: Final answer
    x = 21,985,142.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.