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Finding the Third Proportional to 11,923,770 and 25,863,954

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Solution

The third proportional to 11,923,770 and 25,863,954 is: 56,101,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923,770 : 25,863,954 = 25,863,954 : x
  2. Step 2: Convert to fraction form
    11,923,770/25,863,954 = 25,863,954/x
  3. Step 3: Cross multiply
    11,923,770x = 25,863,954 × 25,863,954
  4. Step 4: Simplify right side
    11,923,770x = 668,944,116,514,116
  5. Step 5: Solve for x
    x = 668,944,116,514,116/11,923,770
  6. Step 6: Final answer
    x = 56,101,729.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.