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Finding the Third Proportional to 2,851,688.25 and 5,939,268.75

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Solution

The third proportional to 2,851,688.25 and 5,939,268.75 is: 12,369,835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851,688.25 : 5,939,268.75 = 5,939,268.75 : x
  2. Step 2: Convert to fraction form
    2,851,688.25/5,939,268.75 = 5,939,268.75/x
  3. Step 3: Cross multiply
    2,851,688.25x = 5,939,268.75 × 5,939,268.75
  4. Step 4: Simplify right side
    2,851,688.25x = 35,274,913,284,726.56
  5. Step 5: Solve for x
    x = 35,274,913,284,726.56/2,851,688.25
  6. Step 6: Final answer
    x = 12,369,835.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.