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Finding the Third Proportional to 7,797,892 and 17,388,768

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Solution

The third proportional to 7,797,892 and 17,388,768 is: 38,775,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797,892 : 17,388,768 = 17,388,768 : x
  2. Step 2: Convert to fraction form
    7,797,892/17,388,768 = 17,388,768/x
  3. Step 3: Cross multiply
    7,797,892x = 17,388,768 × 17,388,768
  4. Step 4: Simplify right side
    7,797,892x = 302,369,252,557,824
  5. Step 5: Solve for x
    x = 302,369,252,557,824/7,797,892
  6. Step 6: Final answer
    x = 38,775,768.19

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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.