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Finding the Third Proportional to 35,137,543,638 and 53,529,617,212

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Solution

The third proportional to 35,137,543,638 and 53,529,617,212 is: 81,548,669,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,137,543,638 : 53,529,617,212 = 53,529,617,212 : x
  2. Step 2: Convert to fraction form
    35,137,543,638/53,529,617,212 = 53,529,617,212/x
  3. Step 3: Cross multiply
    35,137,543,638x = 53,529,617,212 × 53,529,617,212
  4. Step 4: Simplify right side
    35,137,543,638x = 2,865,419,918,863,246,557,184
  5. Step 5: Solve for x
    x = 2,865,419,918,863,246,557,184/35,137,543,638
  6. Step 6: Final answer
    x = 81,548,669,092.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.