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Finding the Third Proportional to 7,693,185.75 and 12,181,975.13

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Solution

The third proportional to 7,693,185.75 and 12,181,975.13 is: 19,289,865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693,185.75 : 12,181,975.13 = 12,181,975.13 : x
  2. Step 2: Convert to fraction form
    7,693,185.75/12,181,975.13 = 12,181,975.13/x
  3. Step 3: Cross multiply
    7,693,185.75x = 12,181,975.13 × 12,181,975.13
  4. Step 4: Simplify right side
    7,693,185.75x = 148,400,517,946,118.75
  5. Step 5: Solve for x
    x = 148,400,517,946,118.75/7,693,185.75
  6. Step 6: Final answer
    x = 19,289,865.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.