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Finding the Third Proportional to 5,489,124 and 11,596,212

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Solution

The third proportional to 5,489,124 and 11,596,212 is: 24,497,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489,124 : 11,596,212 = 11,596,212 : x
  2. Step 2: Convert to fraction form
    5,489,124/11,596,212 = 11,596,212/x
  3. Step 3: Cross multiply
    5,489,124x = 11,596,212 × 11,596,212
  4. Step 4: Simplify right side
    5,489,124x = 134,472,132,748,944
  5. Step 5: Solve for x
    x = 134,472,132,748,944/5,489,124
  6. Step 6: Final answer
    x = 24,497,922.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.