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Finding the Third Proportional to 4,550,998.92 and 9,777,325.22

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Solution

The third proportional to 4,550,998.92 and 9,777,325.22 is: 21,005,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550,998.92 : 9,777,325.22 = 9,777,325.22 : x
  2. Step 2: Convert to fraction form
    4,550,998.92/9,777,325.22 = 9,777,325.22/x
  3. Step 3: Cross multiply
    4,550,998.92x = 9,777,325.22 × 9,777,325.22
  4. Step 4: Simplify right side
    4,550,998.92x = 95,596,088,433,204.73
  5. Step 5: Solve for x
    x = 95,596,088,433,204.73/4,550,998.92
  6. Step 6: Final answer
    x = 21,005,517.71

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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.