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Finding the Third Proportional to 38,362,584.50 and 82,183,491.50

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Solution

The third proportional to 38,362,584.50 and 82,183,491.50 is: 176,060,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,362,584.50 : 82,183,491.50 = 82,183,491.50 : x
  2. Step 2: Convert to fraction form
    38,362,584.50/82,183,491.50 = 82,183,491.50/x
  3. Step 3: Cross multiply
    38,362,584.50x = 82,183,491.50 × 82,183,491.50
  4. Step 4: Simplify right side
    38,362,584.50x = 6,754,126,275,130,572
  5. Step 5: Solve for x
    x = 6,754,126,275,130,572/38,362,584.50
  6. Step 6: Final answer
    x = 176,060,251.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.