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Finding the Third Proportional to 11,923,868 and 25,864,144

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Solution

The third proportional to 11,923,868 and 25,864,144 is: 56,102,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923,868 : 25,864,144 = 25,864,144 : x
  2. Step 2: Convert to fraction form
    11,923,868/25,864,144 = 25,864,144/x
  3. Step 3: Cross multiply
    11,923,868x = 25,864,144 × 25,864,144
  4. Step 4: Simplify right side
    11,923,868x = 668,953,944,852,736
  5. Step 5: Solve for x
    x = 668,953,944,852,736/11,923,868
  6. Step 6: Final answer
    x = 56,102,092.45

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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.