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Finding the Third Proportional to 7,978,080,224 and 11,922,467,952

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Solution

The third proportional to 7,978,080,224 and 11,922,467,952 is: 17,816,973,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978,080,224 : 11,922,467,952 = 11,922,467,952 : x
  2. Step 2: Convert to fraction form
    7,978,080,224/11,922,467,952 = 11,922,467,952/x
  3. Step 3: Cross multiply
    7,978,080,224x = 11,922,467,952 × 11,922,467,952
  4. Step 4: Simplify right side
    7,978,080,224x = 142,145,242,066,467,078,144
  5. Step 5: Solve for x
    x = 142,145,242,066,467,078,144/7,978,080,224
  6. Step 6: Final answer
    x = 17,816,973,266.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.