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Finding the Third Proportional to 6,481,651.50 and 13,968,168

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Solution

The third proportional to 6,481,651.50 and 13,968,168 is: 30,101,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481,651.50 : 13,968,168 = 13,968,168 : x
  2. Step 2: Convert to fraction form
    6,481,651.50/13,968,168 = 13,968,168/x
  3. Step 3: Cross multiply
    6,481,651.50x = 13,968,168 × 13,968,168
  4. Step 4: Simplify right side
    6,481,651.50x = 195,109,717,276,224
  5. Step 5: Solve for x
    x = 195,109,717,276,224/6,481,651.50
  6. Step 6: Final answer
    x = 30,101,852.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.