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Finding the Third Proportional to 8,207,725,075 and 16,643,839,745

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Solution

The third proportional to 8,207,725,075 and 16,643,839,745 is: 33,750,813,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207,725,075 : 16,643,839,745 = 16,643,839,745 : x
  2. Step 2: Convert to fraction form
    8,207,725,075/16,643,839,745 = 16,643,839,745/x
  3. Step 3: Cross multiply
    8,207,725,075x = 16,643,839,745 × 16,643,839,745
  4. Step 4: Simplify right side
    8,207,725,075x = 277,017,401,457,241,653,248
  5. Step 5: Solve for x
    x = 277,017,401,457,241,653,248/8,207,725,075
  6. Step 6: Final answer
    x = 33,750,813,888.86

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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.