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Finding the Third Proportional to 34,930,173,255.75 and 75,980,474,325

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Solution

The third proportional to 34,930,173,255.75 and 75,980,474,325 is: 165,273,514,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,930,173,255.75 : 75,980,474,325 = 75,980,474,325 : x
  2. Step 2: Convert to fraction form
    34,930,173,255.75/75,980,474,325 = 75,980,474,325/x
  3. Step 3: Cross multiply
    34,930,173,255.75x = 75,980,474,325 × 75,980,474,325
  4. Step 4: Simplify right side
    34,930,173,255.75x = 5,773,032,478,651,984,117,760
  5. Step 5: Solve for x
    x = 5,773,032,478,651,984,117,760/34,930,173,255.75
  6. Step 6: Final answer
    x = 165,273,514,001.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.