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Finding the Third Proportional to 2,724,728.63 and 6,422,945.63

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Solution

The third proportional to 2,724,728.63 and 6,422,945.63 is: 15,140,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724,728.63 : 6,422,945.63 = 6,422,945.63 : x
  2. Step 2: Convert to fraction form
    2,724,728.63/6,422,945.63 = 6,422,945.63/x
  3. Step 3: Cross multiply
    2,724,728.63x = 6,422,945.63 × 6,422,945.63
  4. Step 4: Simplify right side
    2,724,728.63x = 41,254,230,501,706.64
  5. Step 5: Solve for x
    x = 41,254,230,501,706.64/2,724,728.63
  6. Step 6: Final answer
    x = 15,140,674.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.