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Finding the Third Proportional to 2,236,347,198 and 4,865,389,875

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Solution

The third proportional to 2,236,347,198 and 4,865,389,875 is: 10,585,126,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236,347,198 : 4,865,389,875 = 4,865,389,875 : x
  2. Step 2: Convert to fraction form
    2,236,347,198/4,865,389,875 = 4,865,389,875/x
  3. Step 3: Cross multiply
    2,236,347,198x = 4,865,389,875 × 4,865,389,875
  4. Step 4: Simplify right side
    2,236,347,198x = 23,672,018,635,752,517,632
  5. Step 5: Solve for x
    x = 23,672,018,635,752,517,632/2,236,347,198
  6. Step 6: Final answer
    x = 10,585,126,789.31

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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.