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Finding the Third Proportional to 4,744,854 and 9,826,163

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Solution

The third proportional to 4,744,854 and 9,826,163 is: 20,349,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744,854 : 9,826,163 = 9,826,163 : x
  2. Step 2: Convert to fraction form
    4,744,854/9,826,163 = 9,826,163/x
  3. Step 3: Cross multiply
    4,744,854x = 9,826,163 × 9,826,163
  4. Step 4: Simplify right side
    4,744,854x = 96,553,479,302,569
  5. Step 5: Solve for x
    x = 96,553,479,302,569/4,744,854
  6. Step 6: Final answer
    x = 20,349,093.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.