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Finding the Third Proportional to 7,975,176 and 17,545,296

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Solution

The third proportional to 7,975,176 and 17,545,296 is: 38,599,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975,176 : 17,545,296 = 17,545,296 : x
  2. Step 2: Convert to fraction form
    7,975,176/17,545,296 = 17,545,296/x
  3. Step 3: Cross multiply
    7,975,176x = 17,545,296 × 17,545,296
  4. Step 4: Simplify right side
    7,975,176x = 307,837,411,727,616
  5. Step 5: Solve for x
    x = 307,837,411,727,616/7,975,176
  6. Step 6: Final answer
    x = 38,599,450.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.