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Finding the Third Proportional to 4,409,184 and 9,448,220

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Solution

The third proportional to 4,409,184 and 9,448,220 is: 20,246,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409,184 : 9,448,220 = 9,448,220 : x
  2. Step 2: Convert to fraction form
    4,409,184/9,448,220 = 9,448,220/x
  3. Step 3: Cross multiply
    4,409,184x = 9,448,220 × 9,448,220
  4. Step 4: Simplify right side
    4,409,184x = 89,268,861,168,400
  5. Step 5: Solve for x
    x = 89,268,861,168,400/4,409,184
  6. Step 6: Final answer
    x = 20,246,118.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.