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Finding the Third Proportional to 6,833,379 and 14,435,124

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Solution

The third proportional to 6,833,379 and 14,435,124 is: 30,493,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833,379 : 14,435,124 = 14,435,124 : x
  2. Step 2: Convert to fraction form
    6,833,379/14,435,124 = 14,435,124/x
  3. Step 3: Cross multiply
    6,833,379x = 14,435,124 × 14,435,124
  4. Step 4: Simplify right side
    6,833,379x = 208,372,804,895,376
  5. Step 5: Solve for x
    x = 208,372,804,895,376/6,833,379
  6. Step 6: Final answer
    x = 30,493,377.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.