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Finding the Third Proportional to 6,826,264.88 and 14,665,571.44

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Solution

The third proportional to 6,826,264.88 and 14,665,571.44 is: 31,507,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826,264.88 : 14,665,571.44 = 14,665,571.44 : x
  2. Step 2: Convert to fraction form
    6,826,264.88/14,665,571.44 = 14,665,571.44/x
  3. Step 3: Cross multiply
    6,826,264.88x = 14,665,571.44 × 14,665,571.44
  4. Step 4: Simplify right side
    6,826,264.88x = 215,078,985,588,415.81
  5. Step 5: Solve for x
    x = 215,078,985,588,415.81/6,826,264.88
  6. Step 6: Final answer
    x = 31,507,565.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.