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Finding the Third Proportional to 40,647,990,136 and 88,050,418,208

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Solution

The third proportional to 40,647,990,136 and 88,050,418,208 is: 190,732,090,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,647,990,136 : 88,050,418,208 = 88,050,418,208 : x
  2. Step 2: Convert to fraction form
    40,647,990,136/88,050,418,208 = 88,050,418,208/x
  3. Step 3: Cross multiply
    40,647,990,136x = 88,050,418,208 × 88,050,418,208
  4. Step 4: Simplify right side
    40,647,990,136x = 7,752,876,146,603,697,635,328
  5. Step 5: Solve for x
    x = 7,752,876,146,603,697,635,328/40,647,990,136
  6. Step 6: Final answer
    x = 190,732,090,828.21

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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.