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Finding the Third Proportional to 4,894,758 and 10,498,086

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Solution

The third proportional to 4,894,758 and 10,498,086 is: 22,515,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894,758 : 10,498,086 = 10,498,086 : x
  2. Step 2: Convert to fraction form
    4,894,758/10,498,086 = 10,498,086/x
  3. Step 3: Cross multiply
    4,894,758x = 10,498,086 × 10,498,086
  4. Step 4: Simplify right side
    4,894,758x = 110,209,809,663,396
  5. Step 5: Solve for x
    x = 110,209,809,663,396/4,894,758
  6. Step 6: Final answer
    x = 22,515,885.29

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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.