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Finding the Third Proportional to 7,084,725.75 and 11,278,693.13

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Solution

The third proportional to 7,084,725.75 and 11,278,693.13 is: 17,955,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084,725.75 : 11,278,693.13 = 11,278,693.13 : x
  2. Step 2: Convert to fraction form
    7,084,725.75/11,278,693.13 = 11,278,693.13/x
  3. Step 3: Cross multiply
    7,084,725.75x = 11,278,693.13 × 11,278,693.13
  4. Step 4: Simplify right side
    7,084,725.75x = 127,208,918,607,922.27
  5. Step 5: Solve for x
    x = 127,208,918,607,922.27/7,084,725.75
  6. Step 6: Final answer
    x = 17,955,376.55

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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.