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Finding the Third Proportional to 7,759,494.56 and 18,291,286.69

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Solution

The third proportional to 7,759,494.56 and 18,291,286.69 is: 43,117,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759,494.56 : 18,291,286.69 = 18,291,286.69 : x
  2. Step 2: Convert to fraction form
    7,759,494.56/18,291,286.69 = 18,291,286.69/x
  3. Step 3: Cross multiply
    7,759,494.56x = 18,291,286.69 × 18,291,286.69
  4. Step 4: Simplify right side
    7,759,494.56x = 334,571,168,684,314.75
  5. Step 5: Solve for x
    x = 334,571,168,684,314.75/7,759,494.56
  6. Step 6: Final answer
    x = 43,117,649.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.