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Finding the Third Proportional to 1,226,806,194 and 2,640,679,614

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Solution

The third proportional to 1,226,806,194 and 2,640,679,614 is: 5,684,018,272.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,806,194 : 2,640,679,614 = 2,640,679,614 : x
  2. Step 2: Convert to fraction form
    1,226,806,194/2,640,679,614 = 2,640,679,614/x
  3. Step 3: Cross multiply
    1,226,806,194x = 2,640,679,614 × 2,640,679,614
  4. Step 4: Simplify right side
    1,226,806,194x = 6,973,188,823,795,188,736
  5. Step 5: Solve for x
    x = 6,973,188,823,795,188,736/1,226,806,194
  6. Step 6: Final answer
    x = 5,684,018,272.73

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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.