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Finding the Third Proportional to 11,770,420 and 17,997,774

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Solution

The third proportional to 11,770,420 and 17,997,774 is: 27,519,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770,420 : 17,997,774 = 17,997,774 : x
  2. Step 2: Convert to fraction form
    11,770,420/17,997,774 = 17,997,774/x
  3. Step 3: Cross multiply
    11,770,420x = 17,997,774 × 17,997,774
  4. Step 4: Simplify right side
    11,770,420x = 323,919,868,955,076
  5. Step 5: Solve for x
    x = 323,919,868,955,076/11,770,420
  6. Step 6: Final answer
    x = 27,519,822.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.