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Finding the Third Proportional to 7,303,765.50 and 11,397,804.75

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Solution

The third proportional to 7,303,765.50 and 11,397,804.75 is: 17,786,709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303,765.50 : 11,397,804.75 = 11,397,804.75 : x
  2. Step 2: Convert to fraction form
    7,303,765.50/11,397,804.75 = 11,397,804.75/x
  3. Step 3: Cross multiply
    7,303,765.50x = 11,397,804.75 × 11,397,804.75
  4. Step 4: Simplify right side
    7,303,765.50x = 129,909,953,119,122.56
  5. Step 5: Solve for x
    x = 129,909,953,119,122.56/7,303,765.50
  6. Step 6: Final answer
    x = 17,786,709.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.