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Finding the Third Proportional to 38,380,189.50 and 54,884,122.50

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Solution

The third proportional to 38,380,189.50 and 54,884,122.50 is: 78,484,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,380,189.50 : 54,884,122.50 = 54,884,122.50 : x
  2. Step 2: Convert to fraction form
    38,380,189.50/54,884,122.50 = 54,884,122.50/x
  3. Step 3: Cross multiply
    38,380,189.50x = 54,884,122.50 × 54,884,122.50
  4. Step 4: Simplify right side
    38,380,189.50x = 3,012,266,902,595,006
  5. Step 5: Solve for x
    x = 3,012,266,902,595,006/38,380,189.50
  6. Step 6: Final answer
    x = 78,484,940.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.