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Finding the Third Proportional to 5,206,506.75 and 11,213,110.13

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Solution

The third proportional to 5,206,506.75 and 11,213,110.13 is: 24,149,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,506.75 : 11,213,110.13 = 11,213,110.13 : x
  2. Step 2: Convert to fraction form
    5,206,506.75/11,213,110.13 = 11,213,110.13/x
  3. Step 3: Cross multiply
    5,206,506.75x = 11,213,110.13 × 11,213,110.13
  4. Step 4: Simplify right side
    5,206,506.75x = 125,733,838,675,377.52
  5. Step 5: Solve for x
    x = 125,733,838,675,377.52/5,206,506.75
  6. Step 6: Final answer
    x = 24,149,366.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.