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Finding the Third Proportional to 8,477,544.50 and 17,855,647

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Solution

The third proportional to 8,477,544.50 and 17,855,647 is: 37,608,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477,544.50 : 17,855,647 = 17,855,647 : x
  2. Step 2: Convert to fraction form
    8,477,544.50/17,855,647 = 17,855,647/x
  3. Step 3: Cross multiply
    8,477,544.50x = 17,855,647 × 17,855,647
  4. Step 4: Simplify right side
    8,477,544.50x = 318,824,129,788,609
  5. Step 5: Solve for x
    x = 318,824,129,788,609/8,477,544.50
  6. Step 6: Final answer
    x = 37,608,075.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.