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Finding the Third Proportional to 4,375,680.75 and 6,923,107.13

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Solution

The third proportional to 4,375,680.75 and 6,923,107.13 is: 10,953,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375,680.75 : 6,923,107.13 = 6,923,107.13 : x
  2. Step 2: Convert to fraction form
    4,375,680.75/6,923,107.13 = 6,923,107.13/x
  3. Step 3: Cross multiply
    4,375,680.75x = 6,923,107.13 × 6,923,107.13
  4. Step 4: Simplify right side
    4,375,680.75x = 47,929,412,264,225.77
  5. Step 5: Solve for x
    x = 47,929,412,264,225.77/4,375,680.75
  6. Step 6: Final answer
    x = 10,953,589.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.