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Finding the Third Proportional to 7,797,951 and 17,388,906

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Solution

The third proportional to 7,797,951 and 17,388,906 is: 38,776,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797,951 : 17,388,906 = 17,388,906 : x
  2. Step 2: Convert to fraction form
    7,797,951/17,388,906 = 17,388,906/x
  3. Step 3: Cross multiply
    7,797,951x = 17,388,906 × 17,388,906
  4. Step 4: Simplify right side
    7,797,951x = 302,374,051,876,836
  5. Step 5: Solve for x
    x = 302,374,051,876,836/7,797,951
  6. Step 6: Final answer
    x = 38,776,090.27

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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.