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Finding the Third Proportional to 38,375,788.50 and 83,475,405

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Solution

The third proportional to 38,375,788.50 and 83,475,405 is: 181,576,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,375,788.50 : 83,475,405 = 83,475,405 : x
  2. Step 2: Convert to fraction form
    38,375,788.50/83,475,405 = 83,475,405/x
  3. Step 3: Cross multiply
    38,375,788.50x = 83,475,405 × 83,475,405
  4. Step 4: Simplify right side
    38,375,788.50x = 6,968,143,239,914,025
  5. Step 5: Solve for x
    x = 6,968,143,239,914,025/38,375,788.50
  6. Step 6: Final answer
    x = 181,576,548.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.