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Finding the Third Proportional to 7,463,400.75 and 15,964,279.88

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Solution

The third proportional to 7,463,400.75 and 15,964,279.88 is: 34,147,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463,400.75 : 15,964,279.88 = 15,964,279.88 : x
  2. Step 2: Convert to fraction form
    7,463,400.75/15,964,279.88 = 15,964,279.88/x
  3. Step 3: Cross multiply
    7,463,400.75x = 15,964,279.88 × 15,964,279.88
  4. Step 4: Simplify right side
    7,463,400.75x = 254,858,231,927,330
  5. Step 5: Solve for x
    x = 254,858,231,927,330/7,463,400.75
  6. Step 6: Final answer
    x = 34,147,735.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.