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Finding the Third Proportional to 36,666,244.69 and 55,003,744.83

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Solution

The third proportional to 36,666,244.69 and 55,003,744.83 is: 82,512,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,666,244.69 : 55,003,744.83 = 55,003,744.83 : x
  2. Step 2: Convert to fraction form
    36,666,244.69/55,003,744.83 = 55,003,744.83/x
  3. Step 3: Cross multiply
    36,666,244.69x = 55,003,744.83 × 55,003,744.83
  4. Step 4: Simplify right side
    36,666,244.69x = 3,025,411,945,117,487.50
  5. Step 5: Solve for x
    x = 3,025,411,945,117,487.50/36,666,244.69
  6. Step 6: Final answer
    x = 82,512,184.46

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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.