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Finding the Third Proportional to 12,223,844,408 and 26,190,283,504

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Solution

The third proportional to 12,223,844,408 and 26,190,283,504 is: 56,114,175,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223,844,408 : 26,190,283,504 = 26,190,283,504 : x
  2. Step 2: Convert to fraction form
    12,223,844,408/26,190,283,504 = 26,190,283,504/x
  3. Step 3: Cross multiply
    12,223,844,408x = 26,190,283,504 × 26,190,283,504
  4. Step 4: Simplify right side
    12,223,844,408x = 685,930,950,019,894,476,800
  5. Step 5: Solve for x
    x = 685,930,950,019,894,476,800/12,223,844,408
  6. Step 6: Final answer
    x = 56,114,175,469.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.