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Finding the Third Proportional to 5,591,286 and 12,229,416

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Solution

The third proportional to 5,591,286 and 12,229,416 is: 26,748,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591,286 : 12,229,416 = 12,229,416 : x
  2. Step 2: Convert to fraction form
    5,591,286/12,229,416 = 12,229,416/x
  3. Step 3: Cross multiply
    5,591,286x = 12,229,416 × 12,229,416
  4. Step 4: Simplify right side
    5,591,286x = 149,558,615,701,056
  5. Step 5: Solve for x
    x = 149,558,615,701,056/5,591,286
  6. Step 6: Final answer
    x = 26,748,518.27

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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.