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Finding the Third Proportional to 237,774,867 and 482,235,422

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Solution

The third proportional to 237,774,867 and 482,235,422 is: 978,030,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,774,867 : 482,235,422 = 482,235,422 : x
  2. Step 2: Convert to fraction form
    237,774,867/482,235,422 = 482,235,422/x
  3. Step 3: Cross multiply
    237,774,867x = 482,235,422 × 482,235,422
  4. Step 4: Simplify right side
    237,774,867x = 232,551,002,231,518,080
  5. Step 5: Solve for x
    x = 232,551,002,231,518,080/237,774,867
  6. Step 6: Final answer
    x = 978,030,206.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.