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Finding the Third Proportional to 5,420,646.75 and 7,981,087.50

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Solution

The third proportional to 5,420,646.75 and 7,981,087.50 is: 11,750,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420,646.75 : 7,981,087.50 = 7,981,087.50 : x
  2. Step 2: Convert to fraction form
    5,420,646.75/7,981,087.50 = 7,981,087.50/x
  3. Step 3: Cross multiply
    5,420,646.75x = 7,981,087.50 × 7,981,087.50
  4. Step 4: Simplify right side
    5,420,646.75x = 63,697,757,682,656.25
  5. Step 5: Solve for x
    x = 63,697,757,682,656.25/5,420,646.75
  6. Step 6: Final answer
    x = 11,750,951.62

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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.