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Finding the Third Proportional to 3,909,120 and 8,409,216

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Solution

The third proportional to 3,909,120 and 8,409,216 is: 18,089,727.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909,120 : 8,409,216 = 8,409,216 : x
  2. Step 2: Convert to fraction form
    3,909,120/8,409,216 = 8,409,216/x
  3. Step 3: Cross multiply
    3,909,120x = 8,409,216 × 8,409,216
  4. Step 4: Simplify right side
    3,909,120x = 70,714,913,734,656
  5. Step 5: Solve for x
    x = 70,714,913,734,656/3,909,120
  6. Step 6: Final answer
    x = 18,089,727.03

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Why These Related Problems?

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