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Finding the Third Proportional to 2,665,406.25 and 5,756,354.86

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Solution

The third proportional to 2,665,406.25 and 5,756,354.86 is: 12,431,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,406.25 : 5,756,354.86 = 5,756,354.86 : x
  2. Step 2: Convert to fraction form
    2,665,406.25/5,756,354.86 = 5,756,354.86/x
  3. Step 3: Cross multiply
    2,665,406.25x = 5,756,354.86 × 5,756,354.86
  4. Step 4: Simplify right side
    2,665,406.25x = 33,135,621,267,050.18
  5. Step 5: Solve for x
    x = 33,135,621,267,050.18/2,665,406.25
  6. Step 6: Final answer
    x = 12,431,733.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.