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Finding the Third Proportional to 5,085,974.25 and 7,628,971.50

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Solution

The third proportional to 5,085,974.25 and 7,628,971.50 is: 11,443,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085,974.25 : 7,628,971.50 = 7,628,971.50 : x
  2. Step 2: Convert to fraction form
    5,085,974.25/7,628,971.50 = 7,628,971.50/x
  3. Step 3: Cross multiply
    5,085,974.25x = 7,628,971.50 × 7,628,971.50
  4. Step 4: Simplify right side
    5,085,974.25x = 58,201,206,147,812.25
  5. Step 5: Solve for x
    x = 58,201,206,147,812.25/5,085,974.25
  6. Step 6: Final answer
    x = 11,443,472.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.