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Finding the Third Proportional to 13,941,012 and 30,198,056

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Solution

The third proportional to 13,941,012 and 30,198,056 is: 65,412,940.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,941,012 : 30,198,056 = 30,198,056 : x
  2. Step 2: Convert to fraction form
    13,941,012/30,198,056 = 30,198,056/x
  3. Step 3: Cross multiply
    13,941,012x = 30,198,056 × 30,198,056
  4. Step 4: Simplify right side
    13,941,012x = 911,922,586,179,136
  5. Step 5: Solve for x
    x = 911,922,586,179,136/13,941,012
  6. Step 6: Final answer
    x = 65,412,940.34

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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.