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Finding the Third Proportional to 11,560,974 and 16,266,009

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Solution

The third proportional to 11,560,974 and 16,266,009 is: 22,885,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560,974 : 16,266,009 = 16,266,009 : x
  2. Step 2: Convert to fraction form
    11,560,974/16,266,009 = 16,266,009/x
  3. Step 3: Cross multiply
    11,560,974x = 16,266,009 × 16,266,009
  4. Step 4: Simplify right side
    11,560,974x = 264,583,048,788,081
  5. Step 5: Solve for x
    x = 264,583,048,788,081/11,560,974
  6. Step 6: Final answer
    x = 22,885,878.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.