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Finding the Third Proportional to 1,054,647,993 and 2,228,869,968

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Solution

The third proportional to 1,054,647,993 and 2,228,869,968 is: 4,710,444,970.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,647,993 : 2,228,869,968 = 2,228,869,968 : x
  2. Step 2: Convert to fraction form
    1,054,647,993/2,228,869,968 = 2,228,869,968/x
  3. Step 3: Cross multiply
    1,054,647,993x = 2,228,869,968 × 2,228,869,968
  4. Step 4: Simplify right side
    1,054,647,993x = 4,967,861,334,252,320,768
  5. Step 5: Solve for x
    x = 4,967,861,334,252,320,768/1,054,647,993
  6. Step 6: Final answer
    x = 4,710,444,970.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.