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Finding the Third Proportional to 123,145,867 and 267,725,953

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Solution

The third proportional to 123,145,867 and 267,725,953 is: 582,051,088.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,145,867 : 267,725,953 = 267,725,953 : x
  2. Step 2: Convert to fraction form
    123,145,867/267,725,953 = 267,725,953/x
  3. Step 3: Cross multiply
    123,145,867x = 267,725,953 × 267,725,953
  4. Step 4: Simplify right side
    123,145,867x = 71,677,185,909,758,208
  5. Step 5: Solve for x
    x = 71,677,185,909,758,208/123,145,867
  6. Step 6: Final answer
    x = 582,051,088.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.