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Finding the Third Proportional to 9,209,119 and 20,052,021

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Solution

The third proportional to 9,209,119 and 20,052,021 is: 43,661,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209,119 : 20,052,021 = 20,052,021 : x
  2. Step 2: Convert to fraction form
    9,209,119/20,052,021 = 20,052,021/x
  3. Step 3: Cross multiply
    9,209,119x = 20,052,021 × 20,052,021
  4. Step 4: Simplify right side
    9,209,119x = 402,083,546,184,441
  5. Step 5: Solve for x
    x = 402,083,546,184,441/9,209,119
  6. Step 6: Final answer
    x = 43,661,456.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.