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Finding the Third Proportional to 322,577,912 and 707,861,452

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Solution

The third proportional to 322,577,912 and 707,861,452 is: 1,553,323,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,577,912 : 707,861,452 = 707,861,452 : x
  2. Step 2: Convert to fraction form
    322,577,912/707,861,452 = 707,861,452/x
  3. Step 3: Cross multiply
    322,577,912x = 707,861,452 × 707,861,452
  4. Step 4: Simplify right side
    322,577,912x = 501,067,835,227,548,288
  5. Step 5: Solve for x
    x = 501,067,835,227,548,288/322,577,912
  6. Step 6: Final answer
    x = 1,553,323,450.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.