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Finding the Third Proportional to 7,546,490.91 and 11,768,139.84

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Solution

The third proportional to 7,546,490.91 and 11,768,139.84 is: 18,351,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546,490.91 : 11,768,139.84 = 11,768,139.84 : x
  2. Step 2: Convert to fraction form
    7,546,490.91/11,768,139.84 = 11,768,139.84/x
  3. Step 3: Cross multiply
    7,546,490.91x = 11,768,139.84 × 11,768,139.84
  4. Step 4: Simplify right side
    7,546,490.91x = 138,489,115,382,056.28
  5. Step 5: Solve for x
    x = 138,489,115,382,056.28/7,546,490.91
  6. Step 6: Final answer
    x = 18,351,458.59

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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.