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Finding the Third Proportional to 174,612,420 and 380,225,568

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Solution

The third proportional to 174,612,420 and 380,225,568 is: 827,956,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,612,420 : 380,225,568 = 380,225,568 : x
  2. Step 2: Convert to fraction form
    174,612,420/380,225,568 = 380,225,568/x
  3. Step 3: Cross multiply
    174,612,420x = 380,225,568 × 380,225,568
  4. Step 4: Simplify right side
    174,612,420x = 144,571,482,560,922,624
  5. Step 5: Solve for x
    x = 144,571,482,560,922,624/174,612,420
  6. Step 6: Final answer
    x = 827,956,468.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.