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Finding the Third Proportional to 4,532,834.25 and 9,783,504.84

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Solution

The third proportional to 4,532,834.25 and 9,783,504.84 is: 21,116,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532,834.25 : 9,783,504.84 = 9,783,504.84 : x
  2. Step 2: Convert to fraction form
    4,532,834.25/9,783,504.84 = 9,783,504.84/x
  3. Step 3: Cross multiply
    4,532,834.25x = 9,783,504.84 × 9,783,504.84
  4. Step 4: Simplify right side
    4,532,834.25x = 95,716,967,027,679.72
  5. Step 5: Solve for x
    x = 95,716,967,027,679.72/4,532,834.25
  6. Step 6: Final answer
    x = 21,116,361.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.