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Finding the Third Proportional to 3,909,072 and 8,409,120

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Solution

The third proportional to 3,909,072 and 8,409,120 is: 18,089,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909,072 : 8,409,120 = 8,409,120 : x
  2. Step 2: Convert to fraction form
    3,909,072/8,409,120 = 8,409,120/x
  3. Step 3: Cross multiply
    3,909,072x = 8,409,120 × 8,409,120
  4. Step 4: Simplify right side
    3,909,072x = 70,713,299,174,400
  5. Step 5: Solve for x
    x = 70,713,299,174,400/3,909,072
  6. Step 6: Final answer
    x = 18,089,536.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.