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Finding the Third Proportional to 528,682,364 and 1,145,231,098

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Solution

The third proportional to 528,682,364 and 1,145,231,098 is: 2,480,798,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,682,364 : 1,145,231,098 = 1,145,231,098 : x
  2. Step 2: Convert to fraction form
    528,682,364/1,145,231,098 = 1,145,231,098/x
  3. Step 3: Cross multiply
    528,682,364x = 1,145,231,098 × 1,145,231,098
  4. Step 4: Simplify right side
    528,682,364x = 1,311,554,267,826,285,568
  5. Step 5: Solve for x
    x = 1,311,554,267,826,285,568/528,682,364
  6. Step 6: Final answer
    x = 2,480,798,220.51

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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.