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Finding the Third Proportional to 13,971,744 and 30,540,240

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Solution

The third proportional to 13,971,744 and 30,540,240 is: 66,756,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971,744 : 30,540,240 = 30,540,240 : x
  2. Step 2: Convert to fraction form
    13,971,744/30,540,240 = 30,540,240/x
  3. Step 3: Cross multiply
    13,971,744x = 30,540,240 × 30,540,240
  4. Step 4: Simplify right side
    13,971,744x = 932,706,259,257,600
  5. Step 5: Solve for x
    x = 932,706,259,257,600/13,971,744
  6. Step 6: Final answer
    x = 66,756,609.57

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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.