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Finding the Third Proportional to 22,956,537,394,172 and 50,592,348,180,532

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Solution

The third proportional to 22,956,537,394,172 and 50,592,348,180,532 is: 111,497,028,078,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,956,537,394,172 : 50,592,348,180,532 = 50,592,348,180,532 : x
  2. Step 2: Convert to fraction form
    22,956,537,394,172/50,592,348,180,532 = 50,592,348,180,532/x
  3. Step 3: Cross multiply
    22,956,537,394,172x = 50,592,348,180,532 × 50,592,348,180,532
  4. Step 4: Simplify right side
    22,956,537,394,172x = 2,559,585,694,420,179,408,411,164,672
  5. Step 5: Solve for x
    x = 2,559,585,694,420,179,408,411,164,672/22,956,537,394,172
  6. Step 6: Final answer
    x = 111,497,028,078,371.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.