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Finding the Third Proportional to 4,822,074 and 7,295,103.75

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Solution

The third proportional to 4,822,074 and 7,295,103.75 is: 11,036,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822,074 : 7,295,103.75 = 7,295,103.75 : x
  2. Step 2: Convert to fraction form
    4,822,074/7,295,103.75 = 7,295,103.75/x
  3. Step 3: Cross multiply
    4,822,074x = 7,295,103.75 × 7,295,103.75
  4. Step 4: Simplify right side
    4,822,074x = 53,218,538,723,264.06
  5. Step 5: Solve for x
    x = 53,218,538,723,264.06/4,822,074
  6. Step 6: Final answer
    x = 11,036,441.73

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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.