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Finding the Third Proportional to 3,086,745.47 and 6,784,381.55

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Solution

The third proportional to 3,086,745.47 and 6,784,381.55 is: 14,911,444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086,745.47 : 6,784,381.55 = 6,784,381.55 : x
  2. Step 2: Convert to fraction form
    3,086,745.47/6,784,381.55 = 6,784,381.55/x
  3. Step 3: Cross multiply
    3,086,745.47x = 6,784,381.55 × 6,784,381.55
  4. Step 4: Simplify right side
    3,086,745.47x = 46,027,832,973,578.02
  5. Step 5: Solve for x
    x = 46,027,832,973,578.02/3,086,745.47
  6. Step 6: Final answer
    x = 14,911,444.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.