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Finding the Third Proportional to 7,797,972 and 17,388,930

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Solution

The third proportional to 7,797,972 and 17,388,930 is: 38,776,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797,972 : 17,388,930 = 17,388,930 : x
  2. Step 2: Convert to fraction form
    7,797,972/17,388,930 = 17,388,930/x
  3. Step 3: Cross multiply
    7,797,972x = 17,388,930 × 17,388,930
  4. Step 4: Simplify right side
    7,797,972x = 302,374,886,544,900
  5. Step 5: Solve for x
    x = 302,374,886,544,900/7,797,972
  6. Step 6: Final answer
    x = 38,776,092.88

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