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Finding the Third Proportional to 7,820,443.50 and 16,355,937

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Solution

The third proportional to 7,820,443.50 and 16,355,937 is: 34,207,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820,443.50 : 16,355,937 = 16,355,937 : x
  2. Step 2: Convert to fraction form
    7,820,443.50/16,355,937 = 16,355,937/x
  3. Step 3: Cross multiply
    7,820,443.50x = 16,355,937 × 16,355,937
  4. Step 4: Simplify right side
    7,820,443.50x = 267,516,675,147,969
  5. Step 5: Solve for x
    x = 267,516,675,147,969/7,820,443.50
  6. Step 6: Final answer
    x = 34,207,353.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.