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Finding the Third Proportional to 4,189,199.63 and 6,405,643.69

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Solution

The third proportional to 4,189,199.63 and 6,405,643.69 is: 9,794,775.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189,199.63 : 6,405,643.69 = 6,405,643.69 : x
  2. Step 2: Convert to fraction form
    4,189,199.63/6,405,643.69 = 6,405,643.69/x
  3. Step 3: Cross multiply
    4,189,199.63x = 6,405,643.69 × 6,405,643.69
  4. Step 4: Simplify right side
    4,189,199.63x = 41,032,271,051,208.59
  5. Step 5: Solve for x
    x = 41,032,271,051,208.59/4,189,199.63
  6. Step 6: Final answer
    x = 9,794,775.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.