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Finding the Third Proportional to 9,252,149 and 20,048,797.75

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Solution

The third proportional to 9,252,149 and 20,048,797.75 is: 43,444,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252,149 : 20,048,797.75 = 20,048,797.75 : x
  2. Step 2: Convert to fraction form
    9,252,149/20,048,797.75 = 20,048,797.75/x
  3. Step 3: Cross multiply
    9,252,149x = 20,048,797.75 × 20,048,797.75
  4. Step 4: Simplify right side
    9,252,149x = 401,954,291,220,405.06
  5. Step 5: Solve for x
    x = 401,954,291,220,405.06/9,252,149
  6. Step 6: Final answer
    x = 43,444,424.77

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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.