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Finding the Third Proportional to 809,786,276,082 and 1,741,442,602,302

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Solution

The third proportional to 809,786,276,082 and 1,741,442,602,302 is: 3,744,966,328,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,786,276,082 : 1,741,442,602,302 = 1,741,442,602,302 : x
  2. Step 2: Convert to fraction form
    809,786,276,082/1,741,442,602,302 = 1,741,442,602,302/x
  3. Step 3: Cross multiply
    809,786,276,082x = 1,741,442,602,302 × 1,741,442,602,302
  4. Step 4: Simplify right side
    809,786,276,082x = 3,032,622,337,112,361,893,101,568
  5. Step 5: Solve for x
    x = 3,032,622,337,112,361,893,101,568/809,786,276,082
  6. Step 6: Final answer
    x = 3,744,966,328,381.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.