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Finding the Third Proportional to 1,899,047,012 and 4,048,932,232

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Solution

The third proportional to 1,899,047,012 and 4,048,932,232 is: 8,632,673,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899,047,012 : 4,048,932,232 = 4,048,932,232 : x
  2. Step 2: Convert to fraction form
    1,899,047,012/4,048,932,232 = 4,048,932,232/x
  3. Step 3: Cross multiply
    1,899,047,012x = 4,048,932,232 × 4,048,932,232
  4. Step 4: Simplify right side
    1,899,047,012x = 16,393,852,219,328,501,760
  5. Step 5: Solve for x
    x = 16,393,852,219,328,501,760/1,899,047,012
  6. Step 6: Final answer
    x = 8,632,673,185.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.