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Finding the Third Proportional to 10,004,314 and 20,362,196

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Solution

The third proportional to 10,004,314 and 20,362,196 is: 41,444,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004,314 : 20,362,196 = 20,362,196 : x
  2. Step 2: Convert to fraction form
    10,004,314/20,362,196 = 20,362,196/x
  3. Step 3: Cross multiply
    10,004,314x = 20,362,196 × 20,362,196
  4. Step 4: Simplify right side
    10,004,314x = 414,619,025,942,416
  5. Step 5: Solve for x
    x = 414,619,025,942,416/10,004,314
  6. Step 6: Final answer
    x = 41,444,023.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.