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Finding the Third Proportional to 2,395,410,759 and 5,212,623,645

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Solution

The third proportional to 2,395,410,759 and 5,212,623,645 is: 11,343,125,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395,410,759 : 5,212,623,645 = 5,212,623,645 : x
  2. Step 2: Convert to fraction form
    2,395,410,759/5,212,623,645 = 5,212,623,645/x
  3. Step 3: Cross multiply
    2,395,410,759x = 5,212,623,645 × 5,212,623,645
  4. Step 4: Simplify right side
    2,395,410,759x = 27,171,445,264,413,085,696
  5. Step 5: Solve for x
    x = 27,171,445,264,413,085,696/2,395,410,759
  6. Step 6: Final answer
    x = 11,343,125,667.41

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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.