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Finding the Third Proportional to 2,670,320,892 and 5,416,106,136

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Solution

The third proportional to 2,670,320,892 and 5,416,106,136 is: 10,985,273,629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670,320,892 : 5,416,106,136 = 5,416,106,136 : x
  2. Step 2: Convert to fraction form
    2,670,320,892/5,416,106,136 = 5,416,106,136/x
  3. Step 3: Cross multiply
    2,670,320,892x = 5,416,106,136 × 5,416,106,136
  4. Step 4: Simplify right side
    2,670,320,892x = 29,334,205,676,416,851,968
  5. Step 5: Solve for x
    x = 29,334,205,676,416,851,968/2,670,320,892
  6. Step 6: Final answer
    x = 10,985,273,629.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.