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Finding the Third Proportional to 9,980,816 and 15,158,016

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Solution

The third proportional to 9,980,816 and 15,158,016 is: 23,020,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980,816 : 15,158,016 = 15,158,016 : x
  2. Step 2: Convert to fraction form
    9,980,816/15,158,016 = 15,158,016/x
  3. Step 3: Cross multiply
    9,980,816x = 15,158,016 × 15,158,016
  4. Step 4: Simplify right side
    9,980,816x = 229,765,449,056,256
  5. Step 5: Solve for x
    x = 229,765,449,056,256/9,980,816
  6. Step 6: Final answer
    x = 23,020,707.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.