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Finding the Third Proportional to 4,787,997 and 10,638,861

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Solution

The third proportional to 4,787,997 and 10,638,861 is: 23,639,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787,997 : 10,638,861 = 10,638,861 : x
  2. Step 2: Convert to fraction form
    4,787,997/10,638,861 = 10,638,861/x
  3. Step 3: Cross multiply
    4,787,997x = 10,638,861 × 10,638,861
  4. Step 4: Simplify right side
    4,787,997x = 113,185,363,377,321
  5. Step 5: Solve for x
    x = 113,185,363,377,321/4,787,997
  6. Step 6: Final answer
    x = 23,639,397.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.