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Finding the Third Proportional to 6,215,211 and 13,583,214

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Solution

The third proportional to 6,215,211 and 13,583,214 is: 29,685,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215,211 : 13,583,214 = 13,583,214 : x
  2. Step 2: Convert to fraction form
    6,215,211/13,583,214 = 13,583,214/x
  3. Step 3: Cross multiply
    6,215,211x = 13,583,214 × 13,583,214
  4. Step 4: Simplify right side
    6,215,211x = 184,503,702,569,796
  5. Step 5: Solve for x
    x = 184,503,702,569,796/6,215,211
  6. Step 6: Final answer
    x = 29,685,830.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.