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Finding the Third Proportional to 5,178,919.75 and 7,840,355.75

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Solution

The third proportional to 5,178,919.75 and 7,840,355.75 is: 11,869,498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178,919.75 : 7,840,355.75 = 7,840,355.75 : x
  2. Step 2: Convert to fraction form
    5,178,919.75/7,840,355.75 = 7,840,355.75/x
  3. Step 3: Cross multiply
    5,178,919.75x = 7,840,355.75 × 7,840,355.75
  4. Step 4: Simplify right side
    5,178,919.75x = 61,471,178,286,558.06
  5. Step 5: Solve for x
    x = 61,471,178,286,558.06/5,178,919.75
  6. Step 6: Final answer
    x = 11,869,498.13

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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.