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Finding the Third Proportional to 213,218,674 and 322,452,410

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Solution

The third proportional to 213,218,674 and 322,452,410 is: 487,647,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,218,674 : 322,452,410 = 322,452,410 : x
  2. Step 2: Convert to fraction form
    213,218,674/322,452,410 = 322,452,410/x
  3. Step 3: Cross multiply
    213,218,674x = 322,452,410 × 322,452,410
  4. Step 4: Simplify right side
    213,218,674x = 103,975,556,714,808,096
  5. Step 5: Solve for x
    x = 103,975,556,714,808,096/213,218,674
  6. Step 6: Final answer
    x = 487,647,515.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.