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Finding the Third Proportional to 4,282,738 and 9,271,149

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Solution

The third proportional to 4,282,738 and 9,271,149 is: 20,069,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282,738 : 9,271,149 = 9,271,149 : x
  2. Step 2: Convert to fraction form
    4,282,738/9,271,149 = 9,271,149/x
  3. Step 3: Cross multiply
    4,282,738x = 9,271,149 × 9,271,149
  4. Step 4: Simplify right side
    4,282,738x = 85,954,203,780,201
  5. Step 5: Solve for x
    x = 85,954,203,780,201/4,282,738
  6. Step 6: Final answer
    x = 20,069,918.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.