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Finding the Third Proportional to 2,598,638,224 and 4,265,951,064

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Solution

The third proportional to 2,598,638,224 and 4,265,951,064 is: 7,003,028,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598,638,224 : 4,265,951,064 = 4,265,951,064 : x
  2. Step 2: Convert to fraction form
    2,598,638,224/4,265,951,064 = 4,265,951,064/x
  3. Step 3: Cross multiply
    2,598,638,224x = 4,265,951,064 × 4,265,951,064
  4. Step 4: Simplify right side
    2,598,638,224x = 18,198,338,480,442,732,544
  5. Step 5: Solve for x
    x = 18,198,338,480,442,732,544/2,598,638,224
  6. Step 6: Final answer
    x = 7,003,028,860.41

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.