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Finding the Third Proportional to 5,876,716.50 and 8,613,870.75

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Solution

The third proportional to 5,876,716.50 and 8,613,870.75 is: 12,625,888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876,716.50 : 8,613,870.75 = 8,613,870.75 : x
  2. Step 2: Convert to fraction form
    5,876,716.50/8,613,870.75 = 8,613,870.75/x
  3. Step 3: Cross multiply
    5,876,716.50x = 8,613,870.75 × 8,613,870.75
  4. Step 4: Simplify right side
    5,876,716.50x = 74,198,769,297,705.56
  5. Step 5: Solve for x
    x = 74,198,769,297,705.56/5,876,716.50
  6. Step 6: Final answer
    x = 12,625,888.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.