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Finding the Third Proportional to 5,669,922.80 and 13,327,783.03

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Solution

The third proportional to 5,669,922.80 and 13,327,783.03 is: 31,328,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669,922.80 : 13,327,783.03 = 13,327,783.03 : x
  2. Step 2: Convert to fraction form
    5,669,922.80/13,327,783.03 = 13,327,783.03/x
  3. Step 3: Cross multiply
    5,669,922.80x = 13,327,783.03 × 13,327,783.03
  4. Step 4: Simplify right side
    5,669,922.80x = 177,629,800,528,075.44
  5. Step 5: Solve for x
    x = 177,629,800,528,075.44/5,669,922.80
  6. Step 6: Final answer
    x = 31,328,433.72

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.