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Finding the Third Proportional to 4,037,266,193,350.40 and 8,686,858,355,482.40

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Solution

The third proportional to 4,037,266,193,350.40 and 8,686,858,355,482.40 is: 18,691,239,188,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037,266,193,350.40 : 8,686,858,355,482.40 = 8,686,858,355,482.40 : x
  2. Step 2: Convert to fraction form
    4,037,266,193,350.40/8,686,858,355,482.40 = 8,686,858,355,482.40/x
  3. Step 3: Cross multiply
    4,037,266,193,350.40x = 8,686,858,355,482.40 × 8,686,858,355,482.40
  4. Step 4: Simplify right side
    4,037,266,193,350.40x = 75,461,508,088,214,392,422,793,216
  5. Step 5: Solve for x
    x = 75,461,508,088,214,392,422,793,216/4,037,266,193,350.40
  6. Step 6: Final answer
    x = 18,691,239,188,662.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.