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Finding the Third Proportional to 7,797,975 and 17,388,937

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Solution

The third proportional to 7,797,975 and 17,388,937 is: 38,776,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797,975 : 17,388,937 = 17,388,937 : x
  2. Step 2: Convert to fraction form
    7,797,975/17,388,937 = 17,388,937/x
  3. Step 3: Cross multiply
    7,797,975x = 17,388,937 × 17,388,937
  4. Step 4: Simplify right side
    7,797,975x = 302,375,129,989,969
  5. Step 5: Solve for x
    x = 302,375,129,989,969/7,797,975
  6. Step 6: Final answer
    x = 38,776,109.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.