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Finding the Third Proportional to 4,140,537.75 and 6,285,313.13

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Solution

The third proportional to 4,140,537.75 and 6,285,313.13 is: 9,541,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140,537.75 : 6,285,313.13 = 6,285,313.13 : x
  2. Step 2: Convert to fraction form
    4,140,537.75/6,285,313.13 = 6,285,313.13/x
  3. Step 3: Cross multiply
    4,140,537.75x = 6,285,313.13 × 6,285,313.13
  4. Step 4: Simplify right side
    4,140,537.75x = 39,505,161,079,297.27
  5. Step 5: Solve for x
    x = 39,505,161,079,297.27/4,140,537.75
  6. Step 6: Final answer
    x = 9,541,070.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.