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Finding the Third Proportional to 3,686,268.94 and 5,529,403.88

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Solution

The third proportional to 3,686,268.94 and 5,529,403.88 is: 8,294,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,268.94 : 5,529,403.88 = 5,529,403.88 : x
  2. Step 2: Convert to fraction form
    3,686,268.94/5,529,403.88 = 5,529,403.88/x
  3. Step 3: Cross multiply
    3,686,268.94x = 5,529,403.88 × 5,529,403.88
  4. Step 4: Simplify right side
    3,686,268.94x = 30,574,307,212,865.02
  5. Step 5: Solve for x
    x = 30,574,307,212,865.02/3,686,268.94
  6. Step 6: Final answer
    x = 8,294,106.52

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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.