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Finding the Third Proportional to 6,835,309.59 and 16,135,392.09

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Solution

The third proportional to 6,835,309.59 and 16,135,392.09 is: 38,089,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835,309.59 : 16,135,392.09 = 16,135,392.09 : x
  2. Step 2: Convert to fraction form
    6,835,309.59/16,135,392.09 = 16,135,392.09/x
  3. Step 3: Cross multiply
    6,835,309.59x = 16,135,392.09 × 16,135,392.09
  4. Step 4: Simplify right side
    6,835,309.59x = 260,350,878,019,050
  5. Step 5: Solve for x
    x = 260,350,878,019,050/6,835,309.59
  6. Step 6: Final answer
    x = 38,089,112.78

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.