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Finding the Third Proportional to 51,338,281,124 and 109,741,755,412

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Solution

The third proportional to 51,338,281,124 and 109,741,755,412 is: 234,586,211,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,338,281,124 : 109,741,755,412 = 109,741,755,412 : x
  2. Step 2: Convert to fraction form
    51,338,281,124/109,741,755,412 = 109,741,755,412/x
  3. Step 3: Cross multiply
    51,338,281,124x = 109,741,755,412 × 109,741,755,412
  4. Step 4: Simplify right side
    51,338,281,124x = 12,043,252,880,907,230,511,104
  5. Step 5: Solve for x
    x = 12,043,252,880,907,230,511,104/51,338,281,124
  6. Step 6: Final answer
    x = 234,586,211,638.42

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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.