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Finding the Third Proportional to 1,026,212,732 and 2,240,530,668

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Solution

The third proportional to 1,026,212,732 and 2,240,530,668 is: 4,891,751,503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,212,732 : 2,240,530,668 = 2,240,530,668 : x
  2. Step 2: Convert to fraction form
    1,026,212,732/2,240,530,668 = 2,240,530,668/x
  3. Step 3: Cross multiply
    1,026,212,732x = 2,240,530,668 × 2,240,530,668
  4. Step 4: Simplify right side
    1,026,212,732x = 5,019,977,674,248,525,824
  5. Step 5: Solve for x
    x = 5,019,977,674,248,525,824/1,026,212,732
  6. Step 6: Final answer
    x = 4,891,751,503.09

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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.