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Finding the Third Proportional to 13,503,441 and 29,568,223

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Solution

The third proportional to 13,503,441 and 29,568,223 is: 64,744,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503,441 : 29,568,223 = 29,568,223 : x
  2. Step 2: Convert to fraction form
    13,503,441/29,568,223 = 29,568,223/x
  3. Step 3: Cross multiply
    13,503,441x = 29,568,223 × 29,568,223
  4. Step 4: Simplify right side
    13,503,441x = 874,279,811,377,729
  5. Step 5: Solve for x
    x = 874,279,811,377,729/13,503,441
  6. Step 6: Final answer
    x = 64,744,964.74

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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.