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Finding the Third Proportional to 8,531,122.50 and 13,081,824

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Solution

The third proportional to 8,531,122.50 and 13,081,824 is: 20,059,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531,122.50 : 13,081,824 = 13,081,824 : x
  2. Step 2: Convert to fraction form
    8,531,122.50/13,081,824 = 13,081,824/x
  3. Step 3: Cross multiply
    8,531,122.50x = 13,081,824 × 13,081,824
  4. Step 4: Simplify right side
    8,531,122.50x = 171,134,119,166,976
  5. Step 5: Solve for x
    x = 171,134,119,166,976/8,531,122.50
  6. Step 6: Final answer
    x = 20,059,976.77

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Why These Related Problems?

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