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Finding the Third Proportional to 7,682,991.75 and 11,575,153.13

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Solution

The third proportional to 7,682,991.75 and 11,575,153.13 is: 17,439,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682,991.75 : 11,575,153.13 = 11,575,153.13 : x
  2. Step 2: Convert to fraction form
    7,682,991.75/11,575,153.13 = 11,575,153.13/x
  3. Step 3: Cross multiply
    7,682,991.75x = 11,575,153.13 × 11,575,153.13
  4. Step 4: Simplify right side
    7,682,991.75x = 133,984,169,867,197.27
  5. Step 5: Solve for x
    x = 133,984,169,867,197.27/7,682,991.75
  6. Step 6: Final answer
    x = 17,439,062.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.