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Finding the Third Proportional to 12,417,368,757.75 and 18,621,494,358.75

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Solution

The third proportional to 12,417,368,757.75 and 18,621,494,358.75 is: 27,925,405,044.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417,368,757.75 : 18,621,494,358.75 = 18,621,494,358.75 : x
  2. Step 2: Convert to fraction form
    12,417,368,757.75/18,621,494,358.75 = 18,621,494,358.75/x
  3. Step 3: Cross multiply
    12,417,368,757.75x = 18,621,494,358.75 × 18,621,494,358.75
  4. Step 4: Simplify right side
    12,417,368,757.75x = 346,760,052,152,958,058,496
  5. Step 5: Solve for x
    x = 346,760,052,152,958,058,496/12,417,368,757.75
  6. Step 6: Final answer
    x = 27,925,405,044.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.