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Finding the Third Proportional to 13,612,638,144 and 29,548,511,808

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Solution

The third proportional to 13,612,638,144 and 29,548,511,808 is: 64,139,995,556.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,612,638,144 : 29,548,511,808 = 29,548,511,808 : x
  2. Step 2: Convert to fraction form
    13,612,638,144/29,548,511,808 = 29,548,511,808/x
  3. Step 3: Cross multiply
    13,612,638,144x = 29,548,511,808 × 29,548,511,808
  4. Step 4: Simplify right side
    13,612,638,144x = 873,114,550,067,515,490,304
  5. Step 5: Solve for x
    x = 873,114,550,067,515,490,304/13,612,638,144
  6. Step 6: Final answer
    x = 64,139,995,556.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.