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Finding the Third Proportional to 9,409,500 and 20,412,216

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Solution

The third proportional to 9,409,500 and 20,412,216 is: 44,280,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409,500 : 20,412,216 = 20,412,216 : x
  2. Step 2: Convert to fraction form
    9,409,500/20,412,216 = 20,412,216/x
  3. Step 3: Cross multiply
    9,409,500x = 20,412,216 × 20,412,216
  4. Step 4: Simplify right side
    9,409,500x = 416,658,562,030,656
  5. Step 5: Solve for x
    x = 416,658,562,030,656/9,409,500
  6. Step 6: Final answer
    x = 44,280,627.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.