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Finding the Third Proportional to 5,715,079.88 and 8,146,942.88

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Solution

The third proportional to 5,715,079.88 and 8,146,942.88 is: 11,613,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715,079.88 : 8,146,942.88 = 8,146,942.88 : x
  2. Step 2: Convert to fraction form
    5,715,079.88/8,146,942.88 = 8,146,942.88/x
  3. Step 3: Cross multiply
    5,715,079.88x = 8,146,942.88 × 8,146,942.88
  4. Step 4: Simplify right side
    5,715,079.88x = 66,372,678,208,513.27
  5. Step 5: Solve for x
    x = 66,372,678,208,513.27/5,715,079.88
  6. Step 6: Final answer
    x = 11,613,604.65

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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.