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Finding the Third Proportional to 37,296,004.50 and 80,720,803.13

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Solution

The third proportional to 37,296,004.50 and 80,720,803.13 is: 174,706,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,296,004.50 : 80,720,803.13 = 80,720,803.13 : x
  2. Step 2: Convert to fraction form
    37,296,004.50/80,720,803.13 = 80,720,803.13/x
  3. Step 3: Cross multiply
    37,296,004.50x = 80,720,803.13 × 80,720,803.13
  4. Step 4: Simplify right side
    37,296,004.50x = 6,515,848,057,145,010
  5. Step 5: Solve for x
    x = 6,515,848,057,145,010/37,296,004.50
  6. Step 6: Final answer
    x = 174,706,329.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.