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Finding the Third Proportional to 4,785,382.13 and 7,181,573.06

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Solution

The third proportional to 4,785,382.13 and 7,181,573.06 is: 10,777,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785,382.13 : 7,181,573.06 = 7,181,573.06 : x
  2. Step 2: Convert to fraction form
    4,785,382.13/7,181,573.06 = 7,181,573.06/x
  3. Step 3: Cross multiply
    4,785,382.13x = 7,181,573.06 × 7,181,573.06
  4. Step 4: Simplify right side
    4,785,382.13x = 51,574,991,652,025.62
  5. Step 5: Solve for x
    x = 51,574,991,652,025.62/4,785,382.13
  6. Step 6: Final answer
    x = 10,777,611.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.