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Finding the Third Proportional to 12,019,939,144 and 16,024,766,309

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Solution

The third proportional to 12,019,939,144 and 16,024,766,309 is: 21,363,929,732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019,939,144 : 16,024,766,309 = 16,024,766,309 : x
  2. Step 2: Convert to fraction form
    12,019,939,144/16,024,766,309 = 16,024,766,309/x
  3. Step 3: Cross multiply
    12,019,939,144x = 16,024,766,309 × 16,024,766,309
  4. Step 4: Simplify right side
    12,019,939,144x = 256,793,135,258,061,471,744
  5. Step 5: Solve for x
    x = 256,793,135,258,061,471,744/12,019,939,144
  6. Step 6: Final answer
    x = 21,363,929,732.23

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.