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Finding the Third Proportional to 7,674,192 and 11,086,968

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Solution

The third proportional to 7,674,192 and 11,086,968 is: 16,017,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674,192 : 11,086,968 = 11,086,968 : x
  2. Step 2: Convert to fraction form
    7,674,192/11,086,968 = 11,086,968/x
  3. Step 3: Cross multiply
    7,674,192x = 11,086,968 × 11,086,968
  4. Step 4: Simplify right side
    7,674,192x = 122,920,859,433,024
  5. Step 5: Solve for x
    x = 122,920,859,433,024/7,674,192
  6. Step 6: Final answer
    x = 16,017,433.42

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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.