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Finding the Third Proportional to 324,369,832 and 671,734,754

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Solution

The third proportional to 324,369,832 and 671,734,754 is: 1,391,089,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,369,832 : 671,734,754 = 671,734,754 : x
  2. Step 2: Convert to fraction form
    324,369,832/671,734,754 = 671,734,754/x
  3. Step 3: Cross multiply
    324,369,832x = 671,734,754 × 671,734,754
  4. Step 4: Simplify right side
    324,369,832x = 451,227,579,731,440,512
  5. Step 5: Solve for x
    x = 451,227,579,731,440,512/324,369,832
  6. Step 6: Final answer
    x = 1,391,089,846.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.