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Finding the Third Proportional to 13,131,573 and 20,977,969.50

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Solution

The third proportional to 13,131,573 and 20,977,969.50 is: 33,512,756.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,131,573 : 20,977,969.50 = 20,977,969.50 : x
  2. Step 2: Convert to fraction form
    13,131,573/20,977,969.50 = 20,977,969.50/x
  3. Step 3: Cross multiply
    13,131,573x = 20,977,969.50 × 20,977,969.50
  4. Step 4: Simplify right side
    13,131,573x = 440,075,204,342,930.25
  5. Step 5: Solve for x
    x = 440,075,204,342,930.25/13,131,573
  6. Step 6: Final answer
    x = 33,512,756.19

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.