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Finding the Third Proportional to 5,747,233.50 and 8,836,533

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Solution

The third proportional to 5,747,233.50 and 8,836,533 is: 13,586,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747,233.50 : 8,836,533 = 8,836,533 : x
  2. Step 2: Convert to fraction form
    5,747,233.50/8,836,533 = 8,836,533/x
  3. Step 3: Cross multiply
    5,747,233.50x = 8,836,533 × 8,836,533
  4. Step 4: Simplify right side
    5,747,233.50x = 78,084,315,460,089
  5. Step 5: Solve for x
    x = 78,084,315,460,089/5,747,233.50
  6. Step 6: Final answer
    x = 13,586,417.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.