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Finding the Third Proportional to 37,535,481 and 82,245,415.50

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Solution

The third proportional to 37,535,481 and 82,245,415.50 is: 180,211,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,535,481 : 82,245,415.50 = 82,245,415.50 : x
  2. Step 2: Convert to fraction form
    37,535,481/82,245,415.50 = 82,245,415.50/x
  3. Step 3: Cross multiply
    37,535,481x = 82,245,415.50 × 82,245,415.50
  4. Step 4: Simplify right side
    37,535,481x = 6,764,308,370,767,640
  5. Step 5: Solve for x
    x = 6,764,308,370,767,640/37,535,481
  6. Step 6: Final answer
    x = 180,211,048.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.