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Finding the Third Proportional to 7,084,786.50 and 11,278,769.06

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Solution

The third proportional to 7,084,786.50 and 11,278,769.06 is: 17,955,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084,786.50 : 11,278,769.06 = 11,278,769.06 : x
  2. Step 2: Convert to fraction form
    7,084,786.50/11,278,769.06 = 11,278,769.06/x
  3. Step 3: Cross multiply
    7,084,786.50x = 11,278,769.06 × 11,278,769.06
  4. Step 4: Simplify right side
    7,084,786.50x = 127,210,631,565,207.12
  5. Step 5: Solve for x
    x = 127,210,631,565,207.12/7,084,786.50
  6. Step 6: Final answer
    x = 17,955,464.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.