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Finding the Third Proportional to 4,199,070.38 and 9,211,704.75

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Solution

The third proportional to 4,199,070.38 and 9,211,704.75 is: 20,208,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199,070.38 : 9,211,704.75 = 9,211,704.75 : x
  2. Step 2: Convert to fraction form
    4,199,070.38/9,211,704.75 = 9,211,704.75/x
  3. Step 3: Cross multiply
    4,199,070.38x = 9,211,704.75 × 9,211,704.75
  4. Step 4: Simplify right side
    4,199,070.38x = 84,855,504,401,172.56
  5. Step 5: Solve for x
    x = 84,855,504,401,172.56/4,199,070.38
  6. Step 6: Final answer
    x = 20,208,164.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.