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Finding the Third Proportional to 11,963,138 and 17,940,315

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Solution

The third proportional to 11,963,138 and 17,940,315 is: 26,903,886.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963,138 : 17,940,315 = 17,940,315 : x
  2. Step 2: Convert to fraction form
    11,963,138/17,940,315 = 17,940,315/x
  3. Step 3: Cross multiply
    11,963,138x = 17,940,315 × 17,940,315
  4. Step 4: Simplify right side
    11,963,138x = 321,854,902,299,225
  5. Step 5: Solve for x
    x = 321,854,902,299,225/11,963,138
  6. Step 6: Final answer
    x = 26,903,886.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.