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Finding the Third Proportional to 4,377,854 and 6,993,615

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Solution

The third proportional to 4,377,854 and 6,993,615 is: 11,172,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377,854 : 6,993,615 = 6,993,615 : x
  2. Step 2: Convert to fraction form
    4,377,854/6,993,615 = 6,993,615/x
  3. Step 3: Cross multiply
    4,377,854x = 6,993,615 × 6,993,615
  4. Step 4: Simplify right side
    4,377,854x = 48,910,650,768,225
  5. Step 5: Solve for x
    x = 48,910,650,768,225/4,377,854
  6. Step 6: Final answer
    x = 11,172,289.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.