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Finding the Third Proportional to 11,486,502 and 17,783,631

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Solution

The third proportional to 11,486,502 and 17,783,631 is: 27,532,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486,502 : 17,783,631 = 17,783,631 : x
  2. Step 2: Convert to fraction form
    11,486,502/17,783,631 = 17,783,631/x
  3. Step 3: Cross multiply
    11,486,502x = 17,783,631 × 17,783,631
  4. Step 4: Simplify right side
    11,486,502x = 316,257,531,544,161
  5. Step 5: Solve for x
    x = 316,257,531,544,161/11,486,502
  6. Step 6: Final answer
    x = 27,532,971.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.