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Finding the Third Proportional to 4,737,561.75 and 7,074,766.13

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Solution

The third proportional to 4,737,561.75 and 7,074,766.13 is: 10,564,994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737,561.75 : 7,074,766.13 = 7,074,766.13 : x
  2. Step 2: Convert to fraction form
    4,737,561.75/7,074,766.13 = 7,074,766.13/x
  3. Step 3: Cross multiply
    4,737,561.75x = 7,074,766.13 × 7,074,766.13
  4. Step 4: Simplify right side
    4,737,561.75x = 50,052,315,723,447.52
  5. Step 5: Solve for x
    x = 50,052,315,723,447.52/4,737,561.75
  6. Step 6: Final answer
    x = 10,564,994.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.