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Finding the Third Proportional to 7,829,563 and 11,978,357

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Solution

The third proportional to 7,829,563 and 11,978,357 is: 18,325,548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829,563 : 11,978,357 = 11,978,357 : x
  2. Step 2: Convert to fraction form
    7,829,563/11,978,357 = 11,978,357/x
  3. Step 3: Cross multiply
    7,829,563x = 11,978,357 × 11,978,357
  4. Step 4: Simplify right side
    7,829,563x = 143,481,036,419,449
  5. Step 5: Solve for x
    x = 143,481,036,419,449/7,829,563
  6. Step 6: Final answer
    x = 18,325,548.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.