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Finding the Third Proportional to 260,038,104 and 541,599,568

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Solution

The third proportional to 260,038,104 and 541,599,568 is: 1,128,027,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038,104 : 541,599,568 = 541,599,568 : x
  2. Step 2: Convert to fraction form
    260,038,104/541,599,568 = 541,599,568/x
  3. Step 3: Cross multiply
    260,038,104x = 541,599,568 × 541,599,568
  4. Step 4: Simplify right side
    260,038,104x = 293,330,092,057,786,624
  5. Step 5: Solve for x
    x = 293,330,092,057,786,624/260,038,104
  6. Step 6: Final answer
    x = 1,128,027,345.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.