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Finding the Third Proportional to 251,777,058,940 and 513,667,980,052

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Solution

The third proportional to 251,777,058,940 and 513,667,980,052 is: 1,047,969,957,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,777,058,940 : 513,667,980,052 = 513,667,980,052 : x
  2. Step 2: Convert to fraction form
    251,777,058,940/513,667,980,052 = 513,667,980,052/x
  3. Step 3: Cross multiply
    251,777,058,940x = 513,667,980,052 × 513,667,980,052
  4. Step 4: Simplify right side
    251,777,058,940x = 263,854,793,730,701,865,779,200
  5. Step 5: Solve for x
    x = 263,854,793,730,701,865,779,200/251,777,058,940
  6. Step 6: Final answer
    x = 1,047,969,957,396.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.