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Finding the Third Proportional to 38,375,884 and 83,475,595

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Solution

The third proportional to 38,375,884 and 83,475,595 is: 181,576,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,375,884 : 83,475,595 = 83,475,595 : x
  2. Step 2: Convert to fraction form
    38,375,884/83,475,595 = 83,475,595/x
  3. Step 3: Cross multiply
    38,375,884x = 83,475,595 × 83,475,595
  4. Step 4: Simplify right side
    38,375,884x = 6,968,174,960,604,025
  5. Step 5: Solve for x
    x = 6,968,174,960,604,025/38,375,884
  6. Step 6: Final answer
    x = 181,576,923.69

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