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Finding the Third Proportional to 38,424,739.50 and 82,341,036

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Solution

The third proportional to 38,424,739.50 and 82,341,036 is: 176,450,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424,739.50 : 82,341,036 = 82,341,036 : x
  2. Step 2: Convert to fraction form
    38,424,739.50/82,341,036 = 82,341,036/x
  3. Step 3: Cross multiply
    38,424,739.50x = 82,341,036 × 82,341,036
  4. Step 4: Simplify right side
    38,424,739.50x = 6,780,046,209,553,296
  5. Step 5: Solve for x
    x = 6,780,046,209,553,296/38,424,739.50
  6. Step 6: Final answer
    x = 176,450,024.07

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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.