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Finding the Third Proportional to 7,052,617.50 and 9,745,116

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Solution

The third proportional to 7,052,617.50 and 9,745,116 is: 13,465,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052,617.50 : 9,745,116 = 9,745,116 : x
  2. Step 2: Convert to fraction form
    7,052,617.50/9,745,116 = 9,745,116/x
  3. Step 3: Cross multiply
    7,052,617.50x = 9,745,116 × 9,745,116
  4. Step 4: Simplify right side
    7,052,617.50x = 94,967,285,853,456
  5. Step 5: Solve for x
    x = 94,967,285,853,456/7,052,617.50
  6. Step 6: Final answer
    x = 13,465,537.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.