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Finding the Third Proportional to 818,775,216 and 1,932,850,512

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Solution

The third proportional to 818,775,216 and 1,932,850,512 is: 4,562,804,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,775,216 : 1,932,850,512 = 1,932,850,512 : x
  2. Step 2: Convert to fraction form
    818,775,216/1,932,850,512 = 1,932,850,512/x
  3. Step 3: Cross multiply
    818,775,216x = 1,932,850,512 × 1,932,850,512
  4. Step 4: Simplify right side
    818,775,216x = 3,735,911,101,738,661,888
  5. Step 5: Solve for x
    x = 3,735,911,101,738,661,888/818,775,216
  6. Step 6: Final answer
    x = 4,562,804,331.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.