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Finding the Third Proportional to 8,207,725,073 and 16,643,839,741

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Solution

The third proportional to 8,207,725,073 and 16,643,839,741 is: 33,750,813,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207,725,073 : 16,643,839,741 = 16,643,839,741 : x
  2. Step 2: Convert to fraction form
    8,207,725,073/16,643,839,741 = 16,643,839,741/x
  3. Step 3: Cross multiply
    8,207,725,073x = 16,643,839,741 × 16,643,839,741
  4. Step 4: Simplify right side
    8,207,725,073x = 277,017,401,324,090,949,632
  5. Step 5: Solve for x
    x = 277,017,401,324,090,949,632/8,207,725,073
  6. Step 6: Final answer
    x = 33,750,813,880.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.