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Finding the Third Proportional to 4,449,763.27 and 6,686,493.05

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Solution

The third proportional to 4,449,763.27 and 6,686,493.05 is: 10,047,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449,763.27 : 6,686,493.05 = 6,686,493.05 : x
  2. Step 2: Convert to fraction form
    4,449,763.27/6,686,493.05 = 6,686,493.05/x
  3. Step 3: Cross multiply
    4,449,763.27x = 6,686,493.05 × 6,686,493.05
  4. Step 4: Simplify right side
    4,449,763.27x = 44,709,189,265,907.72
  5. Step 5: Solve for x
    x = 44,709,189,265,907.72/4,449,763.27
  6. Step 6: Final answer
    x = 10,047,543.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.