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Finding the Third Proportional to 998,136,684 and 2,225,776,824

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Solution

The third proportional to 998,136,684 and 2,225,776,824 is: 4,963,330,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,136,684 : 2,225,776,824 = 2,225,776,824 : x
  2. Step 2: Convert to fraction form
    998,136,684/2,225,776,824 = 2,225,776,824/x
  3. Step 3: Cross multiply
    998,136,684x = 2,225,776,824 × 2,225,776,824
  4. Step 4: Simplify right side
    998,136,684x = 4,954,082,470,255,526,912
  5. Step 5: Solve for x
    x = 4,954,082,470,255,526,912/998,136,684
  6. Step 6: Final answer
    x = 4,963,330,723.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.