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Finding the Third Proportional to 12,223,215 and 25,903,512

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Solution

The third proportional to 12,223,215 and 25,903,512 is: 54,894,881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223,215 : 25,903,512 = 25,903,512 : x
  2. Step 2: Convert to fraction form
    12,223,215/25,903,512 = 25,903,512/x
  3. Step 3: Cross multiply
    12,223,215x = 25,903,512 × 25,903,512
  4. Step 4: Simplify right side
    12,223,215x = 670,991,933,934,144
  5. Step 5: Solve for x
    x = 670,991,933,934,144/12,223,215
  6. Step 6: Final answer
    x = 54,894,881.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.