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Finding the Third Proportional to 635,188,471 and 1,375,901,257

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Solution

The third proportional to 635,188,471 and 1,375,901,257 is: 2,980,381,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,188,471 : 1,375,901,257 = 1,375,901,257 : x
  2. Step 2: Convert to fraction form
    635,188,471/1,375,901,257 = 1,375,901,257/x
  3. Step 3: Cross multiply
    635,188,471x = 1,375,901,257 × 1,375,901,257
  4. Step 4: Simplify right side
    635,188,471x = 1,893,104,269,014,180,096
  5. Step 5: Solve for x
    x = 1,893,104,269,014,180,096/635,188,471
  6. Step 6: Final answer
    x = 2,980,381,973.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.