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Finding the Third Proportional to 7,458,945.75 and 10,528,260.75

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Solution

The third proportional to 7,458,945.75 and 10,528,260.75 is: 14,860,581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458,945.75 : 10,528,260.75 = 10,528,260.75 : x
  2. Step 2: Convert to fraction form
    7,458,945.75/10,528,260.75 = 10,528,260.75/x
  3. Step 3: Cross multiply
    7,458,945.75x = 10,528,260.75 × 10,528,260.75
  4. Step 4: Simplify right side
    7,458,945.75x = 110,844,274,419,990.56
  5. Step 5: Solve for x
    x = 110,844,274,419,990.56/7,458,945.75
  6. Step 6: Final answer
    x = 14,860,581.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.