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Finding the Third Proportional to 3,026,145,836 and 6,568,824,136

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Solution

The third proportional to 3,026,145,836 and 6,568,824,136 is: 14,258,880,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026,145,836 : 6,568,824,136 = 6,568,824,136 : x
  2. Step 2: Convert to fraction form
    3,026,145,836/6,568,824,136 = 6,568,824,136/x
  3. Step 3: Cross multiply
    3,026,145,836x = 6,568,824,136 × 6,568,824,136
  4. Step 4: Simplify right side
    3,026,145,836x = 43,149,450,529,696,145,408
  5. Step 5: Solve for x
    x = 43,149,450,529,696,145,408/3,026,145,836
  6. Step 6: Final answer
    x = 14,258,880,063.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.