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Finding the Third Proportional to 5,901,214 and 12,699,237

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Solution

The third proportional to 5,901,214 and 12,699,237 is: 27,328,380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901,214 : 12,699,237 = 12,699,237 : x
  2. Step 2: Convert to fraction form
    5,901,214/12,699,237 = 12,699,237/x
  3. Step 3: Cross multiply
    5,901,214x = 12,699,237 × 12,699,237
  4. Step 4: Simplify right side
    5,901,214x = 161,270,620,382,169
  5. Step 5: Solve for x
    x = 161,270,620,382,169/5,901,214
  6. Step 6: Final answer
    x = 27,328,380.29

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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.