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Finding the Third Proportional to 6,215,214 and 13,583,220

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Solution

The third proportional to 6,215,214 and 13,583,220 is: 29,685,842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215,214 : 13,583,220 = 13,583,220 : x
  2. Step 2: Convert to fraction form
    6,215,214/13,583,220 = 13,583,220/x
  3. Step 3: Cross multiply
    6,215,214x = 13,583,220 × 13,583,220
  4. Step 4: Simplify right side
    6,215,214x = 184,503,865,568,400
  5. Step 5: Solve for x
    x = 184,503,865,568,400/6,215,214
  6. Step 6: Final answer
    x = 29,685,842.77

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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.