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Finding the Third Proportional to 51,982,135,962 and 113,929,587,980

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Solution

The third proportional to 51,982,135,962 and 113,929,587,980 is: 249,700,224,453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,982,135,962 : 113,929,587,980 = 113,929,587,980 : x
  2. Step 2: Convert to fraction form
    51,982,135,962/113,929,587,980 = 113,929,587,980/x
  3. Step 3: Cross multiply
    51,982,135,962x = 113,929,587,980 × 113,929,587,980
  4. Step 4: Simplify right side
    51,982,135,962x = 12,979,951,017,292,560,596,992
  5. Step 5: Solve for x
    x = 12,979,951,017,292,560,596,992/51,982,135,962
  6. Step 6: Final answer
    x = 249,700,224,453.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.