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Finding the Third Proportional to 5,906,124 and 12,631,212

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Solution

The third proportional to 5,906,124 and 12,631,212 is: 27,013,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906,124 : 12,631,212 = 12,631,212 : x
  2. Step 2: Convert to fraction form
    5,906,124/12,631,212 = 12,631,212/x
  3. Step 3: Cross multiply
    5,906,124x = 12,631,212 × 12,631,212
  4. Step 4: Simplify right side
    5,906,124x = 159,547,516,588,944
  5. Step 5: Solve for x
    x = 159,547,516,588,944/5,906,124
  6. Step 6: Final answer
    x = 27,013,912.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.