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Finding the Third Proportional to 9,409,104 and 20,411,424

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Solution

The third proportional to 9,409,104 and 20,411,424 is: 44,279,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409,104 : 20,411,424 = 20,411,424 : x
  2. Step 2: Convert to fraction form
    9,409,104/20,411,424 = 20,411,424/x
  3. Step 3: Cross multiply
    9,409,104x = 20,411,424 × 20,411,424
  4. Step 4: Simplify right side
    9,409,104x = 416,626,229,707,776
  5. Step 5: Solve for x
    x = 416,626,229,707,776/9,409,104
  6. Step 6: Final answer
    x = 44,279,054.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.