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Finding the Third Proportional to 213,218,654 and 322,452,380

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Solution

The third proportional to 213,218,654 and 322,452,380 is: 487,647,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,218,654 : 322,452,380 = 322,452,380 : x
  2. Step 2: Convert to fraction form
    213,218,654/322,452,380 = 322,452,380/x
  3. Step 3: Cross multiply
    213,218,654x = 322,452,380 × 322,452,380
  4. Step 4: Simplify right side
    213,218,654x = 103,975,537,367,664,400
  5. Step 5: Solve for x
    x = 103,975,537,367,664,400/213,218,654
  6. Step 6: Final answer
    x = 487,647,470.88

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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.