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Finding the Third Proportional to 4,162,566.38 and 8,780,629.50

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Solution

The third proportional to 4,162,566.38 and 8,780,629.50 is: 18,522,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162,566.38 : 8,780,629.50 = 8,780,629.50 : x
  2. Step 2: Convert to fraction form
    4,162,566.38/8,780,629.50 = 8,780,629.50/x
  3. Step 3: Cross multiply
    4,162,566.38x = 8,780,629.50 × 8,780,629.50
  4. Step 4: Simplify right side
    4,162,566.38x = 77,099,454,416,270.25
  5. Step 5: Solve for x
    x = 77,099,454,416,270.25/4,162,566.38
  6. Step 6: Final answer
    x = 18,522,096.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.