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Finding the Third Proportional to 3,230,627,418 and 7,027,294,194

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Solution

The third proportional to 3,230,627,418 and 7,027,294,194 is: 15,285,843,057.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230,627,418 : 7,027,294,194 = 7,027,294,194 : x
  2. Step 2: Convert to fraction form
    3,230,627,418/7,027,294,194 = 7,027,294,194/x
  3. Step 3: Cross multiply
    3,230,627,418x = 7,027,294,194 × 7,027,294,194
  4. Step 4: Simplify right side
    3,230,627,418x = 49,382,863,689,026,109,440
  5. Step 5: Solve for x
    x = 49,382,863,689,026,109,440/3,230,627,418
  6. Step 6: Final answer
    x = 15,285,843,057.57

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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.