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Finding the Third Proportional to 4,633,571.25 and 9,650,632.50

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Solution

The third proportional to 4,633,571.25 and 9,650,632.50 is: 20,099,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633,571.25 : 9,650,632.50 = 9,650,632.50 : x
  2. Step 2: Convert to fraction form
    4,633,571.25/9,650,632.50 = 9,650,632.50/x
  3. Step 3: Cross multiply
    4,633,571.25x = 9,650,632.50 × 9,650,632.50
  4. Step 4: Simplify right side
    4,633,571.25x = 93,134,707,650,056.25
  5. Step 5: Solve for x
    x = 93,134,707,650,056.25/4,633,571.25
  6. Step 6: Final answer
    x = 20,099,983.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.