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Finding the Third Proportional to 6,734,537.44 and 10,269,946.97

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Solution

The third proportional to 6,734,537.44 and 10,269,946.97 is: 15,661,329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734,537.44 : 10,269,946.97 = 10,269,946.97 : x
  2. Step 2: Convert to fraction form
    6,734,537.44/10,269,946.97 = 10,269,946.97/x
  3. Step 3: Cross multiply
    6,734,537.44x = 10,269,946.97 × 10,269,946.97
  4. Step 4: Simplify right side
    6,734,537.44x = 105,471,810,740,937.31
  5. Step 5: Solve for x
    x = 105,471,810,740,937.31/6,734,537.44
  6. Step 6: Final answer
    x = 15,661,329.63

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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.