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Finding the Third Proportional to 1,226,806,191 and 2,640,679,608

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Solution

The third proportional to 1,226,806,191 and 2,640,679,608 is: 5,684,018,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,806,191 : 2,640,679,608 = 2,640,679,608 : x
  2. Step 2: Convert to fraction form
    1,226,806,191/2,640,679,608 = 2,640,679,608/x
  3. Step 3: Cross multiply
    1,226,806,191x = 2,640,679,608 × 2,640,679,608
  4. Step 4: Simplify right side
    1,226,806,191x = 6,973,188,792,107,033,600
  5. Step 5: Solve for x
    x = 6,973,188,792,107,033,600/1,226,806,191
  6. Step 6: Final answer
    x = 5,684,018,260.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.