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Finding the Third Proportional to 16,621,896,702,084 and 35,745,331,701,180

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Solution

The third proportional to 16,621,896,702,084 and 35,745,331,701,180 is: 76,870,212,908,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,621,896,702,084 : 35,745,331,701,180 = 35,745,331,701,180 : x
  2. Step 2: Convert to fraction form
    16,621,896,702,084/35,745,331,701,180 = 35,745,331,701,180/x
  3. Step 3: Cross multiply
    16,621,896,702,084x = 35,745,331,701,180 × 35,745,331,701,180
  4. Step 4: Simplify right side
    16,621,896,702,084x = 1,277,728,738,427,383,787,114,463,232
  5. Step 5: Solve for x
    x = 1,277,728,738,427,383,787,114,463,232/16,621,896,702,084
  6. Step 6: Final answer
    x = 76,870,212,908,204.77

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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.