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Finding the Third Proportional to 252,329,137,089 and 542,928,647,227

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Solution

The third proportional to 252,329,137,089 and 542,928,647,227 is: 1,168,202,449,310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,329,137,089 : 542,928,647,227 = 542,928,647,227 : x
  2. Step 2: Convert to fraction form
    252,329,137,089/542,928,647,227 = 542,928,647,227/x
  3. Step 3: Cross multiply
    252,329,137,089x = 542,928,647,227 × 542,928,647,227
  4. Step 4: Simplify right side
    252,329,137,089x = 294,771,515,979,740,202,663,936
  5. Step 5: Solve for x
    x = 294,771,515,979,740,202,663,936/252,329,137,089
  6. Step 6: Final answer
    x = 1,168,202,449,310.36

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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.