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Finding the Third Proportional to 6,415,326 and 8,479,912.50

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Solution

The third proportional to 6,415,326 and 8,479,912.50 is: 11,208,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415,326 : 8,479,912.50 = 8,479,912.50 : x
  2. Step 2: Convert to fraction form
    6,415,326/8,479,912.50 = 8,479,912.50/x
  3. Step 3: Cross multiply
    6,415,326x = 8,479,912.50 × 8,479,912.50
  4. Step 4: Simplify right side
    6,415,326x = 71,908,916,007,656.25
  5. Step 5: Solve for x
    x = 71,908,916,007,656.25/6,415,326
  6. Step 6: Final answer
    x = 11,208,926.25

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.