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Finding the Third Proportional to 189,496,599,984 and 421,361,935,056

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Solution

The third proportional to 189,496,599,984 and 421,361,935,056 is: 936,934,384,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,496,599,984 : 421,361,935,056 = 421,361,935,056 : x
  2. Step 2: Convert to fraction form
    189,496,599,984/421,361,935,056 = 421,361,935,056/x
  3. Step 3: Cross multiply
    189,496,599,984x = 421,361,935,056 × 421,361,935,056
  4. Step 4: Simplify right side
    189,496,599,984x = 177,545,880,314,136,745,738,240
  5. Step 5: Solve for x
    x = 177,545,880,314,136,745,738,240/189,496,599,984
  6. Step 6: Final answer
    x = 936,934,384,728.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.