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Finding the Third Proportional to 5,961,933 and 12,932,073

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Solution

The third proportional to 5,961,933 and 12,932,073 is: 28,051,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961,933 : 12,932,073 = 12,932,073 : x
  2. Step 2: Convert to fraction form
    5,961,933/12,932,073 = 12,932,073/x
  3. Step 3: Cross multiply
    5,961,933x = 12,932,073 × 12,932,073
  4. Step 4: Simplify right side
    5,961,933x = 167,238,512,077,329
  5. Step 5: Solve for x
    x = 167,238,512,077,329/5,961,933
  6. Step 6: Final answer
    x = 28,051,055.27

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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.