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Finding the Third Proportional to 5,223,818.25 and 7,914,597.75

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Solution

The third proportional to 5,223,818.25 and 7,914,597.75 is: 11,991,392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223,818.25 : 7,914,597.75 = 7,914,597.75 : x
  2. Step 2: Convert to fraction form
    5,223,818.25/7,914,597.75 = 7,914,597.75/x
  3. Step 3: Cross multiply
    5,223,818.25x = 7,914,597.75 × 7,914,597.75
  4. Step 4: Simplify right side
    5,223,818.25x = 62,640,857,544,305.06
  5. Step 5: Solve for x
    x = 62,640,857,544,305.06/5,223,818.25
  6. Step 6: Final answer
    x = 11,991,392.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.