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Finding the Third Proportional to 1,026,212,744 and 2,240,530,688

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Solution

The third proportional to 1,026,212,744 and 2,240,530,688 is: 4,891,751,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,212,744 : 2,240,530,688 = 2,240,530,688 : x
  2. Step 2: Convert to fraction form
    1,026,212,744/2,240,530,688 = 2,240,530,688/x
  3. Step 3: Cross multiply
    1,026,212,744x = 2,240,530,688 × 2,240,530,688
  4. Step 4: Simplify right side
    1,026,212,744x = 5,019,977,763,869,753,344
  5. Step 5: Solve for x
    x = 5,019,977,763,869,753,344/1,026,212,744
  6. Step 6: Final answer
    x = 4,891,751,533.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.