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Finding the Third Proportional to 7,184,868.75 and 15,565,619.25

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Solution

The third proportional to 7,184,868.75 and 15,565,619.25 is: 33,722,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184,868.75 : 15,565,619.25 = 15,565,619.25 : x
  2. Step 2: Convert to fraction form
    7,184,868.75/15,565,619.25 = 15,565,619.25/x
  3. Step 3: Cross multiply
    7,184,868.75x = 15,565,619.25 × 15,565,619.25
  4. Step 4: Simplify right side
    7,184,868.75x = 242,288,502,635,970.56
  5. Step 5: Solve for x
    x = 242,288,502,635,970.56/7,184,868.75
  6. Step 6: Final answer
    x = 33,722,049.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.