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Finding the Third Proportional to 7,463,824 and 16,278,232

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Solution

The third proportional to 7,463,824 and 16,278,232 is: 35,502,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463,824 : 16,278,232 = 16,278,232 : x
  2. Step 2: Convert to fraction form
    7,463,824/16,278,232 = 16,278,232/x
  3. Step 3: Cross multiply
    7,463,824x = 16,278,232 × 16,278,232
  4. Step 4: Simplify right side
    7,463,824x = 264,980,837,045,824
  5. Step 5: Solve for x
    x = 264,980,837,045,824/7,463,824
  6. Step 6: Final answer
    x = 35,502,021.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.