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Finding the Third Proportional to 7,967,824 and 17,286,728

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Solution

The third proportional to 7,967,824 and 17,286,728 is: 37,504,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967,824 : 17,286,728 = 17,286,728 : x
  2. Step 2: Convert to fraction form
    7,967,824/17,286,728 = 17,286,728/x
  3. Step 3: Cross multiply
    7,967,824x = 17,286,728 × 17,286,728
  4. Step 4: Simplify right side
    7,967,824x = 298,830,964,945,984
  5. Step 5: Solve for x
    x = 298,830,964,945,984/7,967,824
  6. Step 6: Final answer
    x = 37,504,714.58

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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.