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Finding the Third Proportional to 7,671,033.75 and 16,537,626.75

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Solution

The third proportional to 7,671,033.75 and 16,537,626.75 is: 35,652,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671,033.75 : 16,537,626.75 = 16,537,626.75 : x
  2. Step 2: Convert to fraction form
    7,671,033.75/16,537,626.75 = 16,537,626.75/x
  3. Step 3: Cross multiply
    7,671,033.75x = 16,537,626.75 × 16,537,626.75
  4. Step 4: Simplify right side
    7,671,033.75x = 273,493,098,522,315.56
  5. Step 5: Solve for x
    x = 273,493,098,522,315.56/7,671,033.75
  6. Step 6: Final answer
    x = 35,652,704.37

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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.