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Finding the Third Proportional to 821,324,367 and 1,252,673,393.63

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Solution

The third proportional to 821,324,367 and 1,252,673,393.63 is: 1,910,561,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,324,367 : 1,252,673,393.63 = 1,252,673,393.63 : x
  2. Step 2: Convert to fraction form
    821,324,367/1,252,673,393.63 = 1,252,673,393.63/x
  3. Step 3: Cross multiply
    821,324,367x = 1,252,673,393.63 × 1,252,673,393.63
  4. Step 4: Simplify right side
    821,324,367x = 1,569,190,631,095,974,144
  5. Step 5: Solve for x
    x = 1,569,190,631,095,974,144/821,324,367
  6. Step 6: Final answer
    x = 1,910,561,398.33

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.