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Finding the Third Proportional to 7,797,924 and 17,388,855

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Solution

The third proportional to 7,797,924 and 17,388,855 is: 38,775,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797,924 : 17,388,855 = 17,388,855 : x
  2. Step 2: Convert to fraction form
    7,797,924/17,388,855 = 17,388,855/x
  3. Step 3: Cross multiply
    7,797,924x = 17,388,855 × 17,388,855
  4. Step 4: Simplify right side
    7,797,924x = 302,372,278,211,025
  5. Step 5: Solve for x
    x = 302,372,278,211,025/7,797,924
  6. Step 6: Final answer
    x = 38,775,997.07

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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.