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Finding the Third Proportional to 6,314,153.25 and 9,235,033.59

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Solution

The third proportional to 6,314,153.25 and 9,235,033.59 is: 13,507,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314,153.25 : 9,235,033.59 = 9,235,033.59 : x
  2. Step 2: Convert to fraction form
    6,314,153.25/9,235,033.59 = 9,235,033.59/x
  3. Step 3: Cross multiply
    6,314,153.25x = 9,235,033.59 × 9,235,033.59
  4. Step 4: Simplify right side
    6,314,153.25x = 85,285,845,477,691.05
  5. Step 5: Solve for x
    x = 85,285,845,477,691.05/6,314,153.25
  6. Step 6: Final answer
    x = 13,507,091.47

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.