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Finding the Third Proportional to 37,150,485.75 and 78,796,086.75

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Solution

The third proportional to 37,150,485.75 and 78,796,086.75 is: 167,126,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,150,485.75 : 78,796,086.75 = 78,796,086.75 : x
  2. Step 2: Convert to fraction form
    37,150,485.75/78,796,086.75 = 78,796,086.75/x
  3. Step 3: Cross multiply
    37,150,485.75x = 78,796,086.75 × 78,796,086.75
  4. Step 4: Simplify right side
    37,150,485.75x = 6,208,823,287,113,526
  5. Step 5: Solve for x
    x = 6,208,823,287,113,526/37,150,485.75
  6. Step 6: Final answer
    x = 167,126,301.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.