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Finding the Third Proportional to 4,091,541.75 and 6,137,313.75

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Solution

The third proportional to 4,091,541.75 and 6,137,313.75 is: 9,205,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091,541.75 : 6,137,313.75 = 6,137,313.75 : x
  2. Step 2: Convert to fraction form
    4,091,541.75/6,137,313.75 = 6,137,313.75/x
  3. Step 3: Cross multiply
    4,091,541.75x = 6,137,313.75 × 6,137,313.75
  4. Step 4: Simplify right side
    4,091,541.75x = 37,666,620,065,939.06
  5. Step 5: Solve for x
    x = 37,666,620,065,939.06/4,091,541.75
  6. Step 6: Final answer
    x = 9,205,972.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.