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Finding the Third Proportional to 5,343,129.75 and 11,666,103.75

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Solution

The third proportional to 5,343,129.75 and 11,666,103.75 is: 25,471,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343,129.75 : 11,666,103.75 = 11,666,103.75 : x
  2. Step 2: Convert to fraction form
    5,343,129.75/11,666,103.75 = 11,666,103.75/x
  3. Step 3: Cross multiply
    5,343,129.75x = 11,666,103.75 × 11,666,103.75
  4. Step 4: Simplify right side
    5,343,129.75x = 136,097,976,705,764.06
  5. Step 5: Solve for x
    x = 136,097,976,705,764.06/5,343,129.75
  6. Step 6: Final answer
    x = 25,471,583.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.