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Finding the Third Proportional to 2,867,646 and 6,257,013

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Solution

The third proportional to 2,867,646 and 6,257,013 is: 13,652,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867,646 : 6,257,013 = 6,257,013 : x
  2. Step 2: Convert to fraction form
    2,867,646/6,257,013 = 6,257,013/x
  3. Step 3: Cross multiply
    2,867,646x = 6,257,013 × 6,257,013
  4. Step 4: Simplify right side
    2,867,646x = 39,150,211,682,169
  5. Step 5: Solve for x
    x = 39,150,211,682,169/2,867,646
  6. Step 6: Final answer
    x = 13,652,386.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.