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Finding the Third Proportional to 5,104,494 and 7,656,750

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Solution

The third proportional to 5,104,494 and 7,656,750 is: 11,485,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104,494 : 7,656,750 = 7,656,750 : x
  2. Step 2: Convert to fraction form
    5,104,494/7,656,750 = 7,656,750/x
  3. Step 3: Cross multiply
    5,104,494x = 7,656,750 × 7,656,750
  4. Step 4: Simplify right side
    5,104,494x = 58,625,820,562,500
  5. Step 5: Solve for x
    x = 58,625,820,562,500/5,104,494
  6. Step 6: Final answer
    x = 11,485,138.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.