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Finding the Third Proportional to 2,591,058,010 and 5,594,978,852

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Solution

The third proportional to 2,591,058,010 and 5,594,978,852 is: 12,081,469,513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591,058,010 : 5,594,978,852 = 5,594,978,852 : x
  2. Step 2: Convert to fraction form
    2,591,058,010/5,594,978,852 = 5,594,978,852/x
  3. Step 3: Cross multiply
    2,591,058,010x = 5,594,978,852 × 5,594,978,852
  4. Step 4: Simplify right side
    2,591,058,010x = 31,303,788,354,327,236,608
  5. Step 5: Solve for x
    x = 31,303,788,354,327,236,608/2,591,058,010
  6. Step 6: Final answer
    x = 12,081,469,513.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.