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Finding the Third Proportional to 3,882,745.13 and 6,091,205.06

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Solution

The third proportional to 3,882,745.13 and 6,091,205.06 is: 9,555,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882,745.13 : 6,091,205.06 = 6,091,205.06 : x
  2. Step 2: Convert to fraction form
    3,882,745.13/6,091,205.06 = 6,091,205.06/x
  3. Step 3: Cross multiply
    3,882,745.13x = 6,091,205.06 × 6,091,205.06
  4. Step 4: Simplify right side
    3,882,745.13x = 37,102,779,113,425.62
  5. Step 5: Solve for x
    x = 37,102,779,113,425.62/3,882,745.13
  6. Step 6: Final answer
    x = 9,555,811.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.