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Finding the Third Proportional to 12,029,131,961 and 25,048,210,601.50

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Solution

The third proportional to 12,029,131,961 and 25,048,210,601.50 is: 52,157,782,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029,131,961 : 25,048,210,601.50 = 25,048,210,601.50 : x
  2. Step 2: Convert to fraction form
    12,029,131,961/25,048,210,601.50 = 25,048,210,601.50/x
  3. Step 3: Cross multiply
    12,029,131,961x = 25,048,210,601.50 × 25,048,210,601.50
  4. Step 4: Simplify right side
    12,029,131,961x = 627,412,854,337,097,039,872
  5. Step 5: Solve for x
    x = 627,412,854,337,097,039,872/12,029,131,961
  6. Step 6: Final answer
    x = 52,157,782,986.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.