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Finding the Third Proportional to 10,821,053 and 16,197,451

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Solution

The third proportional to 10,821,053 and 16,197,451 is: 24,245,091.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821,053 : 16,197,451 = 16,197,451 : x
  2. Step 2: Convert to fraction form
    10,821,053/16,197,451 = 16,197,451/x
  3. Step 3: Cross multiply
    10,821,053x = 16,197,451 × 16,197,451
  4. Step 4: Simplify right side
    10,821,053x = 262,357,418,897,401
  5. Step 5: Solve for x
    x = 262,357,418,897,401/10,821,053
  6. Step 6: Final answer
    x = 24,245,091.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.