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Finding the Third Proportional to 251,824,954 and 541,913,656

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Solution

The third proportional to 251,824,954 and 541,913,656 is: 1,166,168,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,824,954 : 541,913,656 = 541,913,656 : x
  2. Step 2: Convert to fraction form
    251,824,954/541,913,656 = 541,913,656/x
  3. Step 3: Cross multiply
    251,824,954x = 541,913,656 × 541,913,656
  4. Step 4: Simplify right side
    251,824,954x = 293,670,410,559,286,336
  5. Step 5: Solve for x
    x = 293,670,410,559,286,336/251,824,954
  6. Step 6: Final answer
    x = 1,166,168,824.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.