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Finding the Third Proportional to 4,488,894.28 and 6,964,912.83

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Solution

The third proportional to 4,488,894.28 and 6,964,912.83 is: 10,806,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488,894.28 : 6,964,912.83 = 6,964,912.83 : x
  2. Step 2: Convert to fraction form
    4,488,894.28/6,964,912.83 = 6,964,912.83/x
  3. Step 3: Cross multiply
    4,488,894.28x = 6,964,912.83 × 6,964,912.83
  4. Step 4: Simplify right side
    4,488,894.28x = 48,510,010,703,380.19
  5. Step 5: Solve for x
    x = 48,510,010,703,380.19/4,488,894.28
  6. Step 6: Final answer
    x = 10,806,672.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.