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Finding the Third Proportional to 5,085,973.50 and 7,628,970

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Solution

The third proportional to 5,085,973.50 and 7,628,970 is: 11,443,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085,973.50 : 7,628,970 = 7,628,970 : x
  2. Step 2: Convert to fraction form
    5,085,973.50/7,628,970 = 7,628,970/x
  3. Step 3: Cross multiply
    5,085,973.50x = 7,628,970 × 7,628,970
  4. Step 4: Simplify right side
    5,085,973.50x = 58,201,183,260,900
  5. Step 5: Solve for x
    x = 58,201,183,260,900/5,085,973.50
  6. Step 6: Final answer
    x = 11,443,469.63

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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.