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Finding the Third Proportional to 7,546,494.75 and 11,768,145.19

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Solution

The third proportional to 7,546,494.75 and 11,768,145.19 is: 18,351,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546,494.75 : 11,768,145.19 = 11,768,145.19 : x
  2. Step 2: Convert to fraction form
    7,546,494.75/11,768,145.19 = 11,768,145.19/x
  3. Step 3: Cross multiply
    7,546,494.75x = 11,768,145.19 × 11,768,145.19
  4. Step 4: Simplify right side
    7,546,494.75x = 138,489,241,154,079.41
  5. Step 5: Solve for x
    x = 138,489,241,154,079.41/7,546,494.75
  6. Step 6: Final answer
    x = 18,351,465.91

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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.