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Finding the Third Proportional to 7,674,196 and 11,086,974

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Solution

The third proportional to 7,674,196 and 11,086,974 is: 16,017,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674,196 : 11,086,974 = 11,086,974 : x
  2. Step 2: Convert to fraction form
    7,674,196/11,086,974 = 11,086,974/x
  3. Step 3: Cross multiply
    7,674,196x = 11,086,974 × 11,086,974
  4. Step 4: Simplify right side
    7,674,196x = 122,920,992,476,676
  5. Step 5: Solve for x
    x = 122,920,992,476,676/7,674,196
  6. Step 6: Final answer
    x = 16,017,442.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.