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Finding the Third Proportional to 12,019,939,137 and 16,024,766,301

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Solution

The third proportional to 12,019,939,137 and 16,024,766,301 is: 21,363,929,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019,939,137 : 16,024,766,301 = 16,024,766,301 : x
  2. Step 2: Convert to fraction form
    12,019,939,137/16,024,766,301 = 16,024,766,301/x
  3. Step 3: Cross multiply
    12,019,939,137x = 16,024,766,301 × 16,024,766,301
  4. Step 4: Simplify right side
    12,019,939,137x = 256,793,135,001,665,208,320
  5. Step 5: Solve for x
    x = 256,793,135,001,665,208,320/12,019,939,137
  6. Step 6: Final answer
    x = 21,363,929,723.34

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Why These Related Problems?

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