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Finding the Third Proportional to 9,145,591 and 19,505,821

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Solution

The third proportional to 9,145,591 and 19,505,821 is: 41,602,237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145,591 : 19,505,821 = 19,505,821 : x
  2. Step 2: Convert to fraction form
    9,145,591/19,505,821 = 19,505,821/x
  3. Step 3: Cross multiply
    9,145,591x = 19,505,821 × 19,505,821
  4. Step 4: Simplify right side
    9,145,591x = 380,477,052,884,041
  5. Step 5: Solve for x
    x = 380,477,052,884,041/9,145,591
  6. Step 6: Final answer
    x = 41,602,237.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.