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Finding the Third Proportional to 6,659,694,651,195 and 10,596,883,380,401

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Solution

The third proportional to 6,659,694,651,195 and 10,596,883,380,401 is: 16,861,724,637,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659,694,651,195 : 10,596,883,380,401 = 10,596,883,380,401 : x
  2. Step 2: Convert to fraction form
    6,659,694,651,195/10,596,883,380,401 = 10,596,883,380,401/x
  3. Step 3: Cross multiply
    6,659,694,651,195x = 10,596,883,380,401 × 10,596,883,380,401
  4. Step 4: Simplify right side
    6,659,694,651,195x = 112,293,937,377,818,918,957,088,768
  5. Step 5: Solve for x
    x = 112,293,937,377,818,918,957,088,768/6,659,694,651,195
  6. Step 6: Final answer
    x = 16,861,724,637,430.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.