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Finding the Third Proportional to 4,744,995.75 and 7,184,037.38

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Solution

The third proportional to 4,744,995.75 and 7,184,037.38 is: 10,876,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744,995.75 : 7,184,037.38 = 7,184,037.38 : x
  2. Step 2: Convert to fraction form
    4,744,995.75/7,184,037.38 = 7,184,037.38/x
  3. Step 3: Cross multiply
    4,744,995.75x = 7,184,037.38 × 7,184,037.38
  4. Step 4: Simplify right side
    4,744,995.75x = 51,610,393,005,396.89
  5. Step 5: Solve for x
    x = 51,610,393,005,396.89/4,744,995.75
  6. Step 6: Final answer
    x = 10,876,804.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.