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Finding the Third Proportional to 84,779,162 and 182,548,884

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Solution

The third proportional to 84,779,162 and 182,548,884 is: 393,069,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,779,162 : 182,548,884 = 182,548,884 : x
  2. Step 2: Convert to fraction form
    84,779,162/182,548,884 = 182,548,884/x
  3. Step 3: Cross multiply
    84,779,162x = 182,548,884 × 182,548,884
  4. Step 4: Simplify right side
    84,779,162x = 33,324,095,049,645,456
  5. Step 5: Solve for x
    x = 33,324,095,049,645,456/84,779,162
  6. Step 6: Final answer
    x = 393,069,408.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.