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Finding the Third Proportional to 809,786,276,084 and 1,741,442,602,306

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Solution

The third proportional to 809,786,276,084 and 1,741,442,602,306 is: 3,744,966,328,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,786,276,084 : 1,741,442,602,306 = 1,741,442,602,306 : x
  2. Step 2: Convert to fraction form
    809,786,276,084/1,741,442,602,306 = 1,741,442,602,306/x
  3. Step 3: Cross multiply
    809,786,276,084x = 1,741,442,602,306 × 1,741,442,602,306
  4. Step 4: Simplify right side
    809,786,276,084x = 3,032,622,337,126,293,156,397,056
  5. Step 5: Solve for x
    x = 3,032,622,337,126,293,156,397,056/809,786,276,084
  6. Step 6: Final answer
    x = 3,744,966,328,389.24

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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.