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Finding the Third Proportional to 11,642,212.88 and 24,490,910.63

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Solution

The third proportional to 11,642,212.88 and 24,490,910.63 is: 51,519,819.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642,212.88 : 24,490,910.63 = 24,490,910.63 : x
  2. Step 2: Convert to fraction form
    11,642,212.88/24,490,910.63 = 24,490,910.63/x
  3. Step 3: Cross multiply
    11,642,212.88x = 24,490,910.63 × 24,490,910.63
  4. Step 4: Simplify right side
    11,642,212.88x = 599,804,703,241,737.88
  5. Step 5: Solve for x
    x = 599,804,703,241,737.88/11,642,212.88
  6. Step 6: Final answer
    x = 51,519,819.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.