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Finding the Third Proportional to 12,554,932 and 17,770,117

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Solution

The third proportional to 12,554,932 and 17,770,117 is: 25,151,634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,554,932 : 17,770,117 = 17,770,117 : x
  2. Step 2: Convert to fraction form
    12,554,932/17,770,117 = 17,770,117/x
  3. Step 3: Cross multiply
    12,554,932x = 17,770,117 × 17,770,117
  4. Step 4: Simplify right side
    12,554,932x = 315,777,058,193,689
  5. Step 5: Solve for x
    x = 315,777,058,193,689/12,554,932
  6. Step 6: Final answer
    x = 25,151,634.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.