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Finding the Third Proportional to 13,940,902.78 and 30,197,838.56

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Solution

The third proportional to 13,940,902.78 and 30,197,838.56 is: 65,412,510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940,902.78 : 30,197,838.56 = 30,197,838.56 : x
  2. Step 2: Convert to fraction form
    13,940,902.78/30,197,838.56 = 30,197,838.56/x
  3. Step 3: Cross multiply
    13,940,902.78x = 30,197,838.56 × 30,197,838.56
  4. Step 4: Simplify right side
    13,940,902.78x = 911,909,453,846,812.12
  5. Step 5: Solve for x
    x = 911,909,453,846,812.12/13,940,902.78
  6. Step 6: Final answer
    x = 65,412,510.81

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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.