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Finding the Third Proportional to 7,546,540.50 and 11,768,214.75

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Solution

The third proportional to 7,546,540.50 and 11,768,214.75 is: 18,351,571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546,540.50 : 11,768,214.75 = 11,768,214.75 : x
  2. Step 2: Convert to fraction form
    7,546,540.50/11,768,214.75 = 11,768,214.75/x
  3. Step 3: Cross multiply
    7,546,540.50x = 11,768,214.75 × 11,768,214.75
  4. Step 4: Simplify right side
    7,546,540.50x = 138,490,878,402,117.56
  5. Step 5: Solve for x
    x = 138,490,878,402,117.56/7,546,540.50
  6. Step 6: Final answer
    x = 18,351,571.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.