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Finding the Third Proportional to 3,776,032 and 8,266,149

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Solution

The third proportional to 3,776,032 and 8,266,149 is: 18,095,508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776,032 : 8,266,149 = 8,266,149 : x
  2. Step 2: Convert to fraction form
    3,776,032/8,266,149 = 8,266,149/x
  3. Step 3: Cross multiply
    3,776,032x = 8,266,149 × 8,266,149
  4. Step 4: Simplify right side
    3,776,032x = 68,329,219,290,201
  5. Step 5: Solve for x
    x = 68,329,219,290,201/3,776,032
  6. Step 6: Final answer
    x = 18,095,508.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.