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Finding the Third Proportional to 3,121,505,403.75 and 7,283,764,317.75

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Solution

The third proportional to 3,121,505,403.75 and 7,283,764,317.75 is: 16,996,037,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121,505,403.75 : 7,283,764,317.75 = 7,283,764,317.75 : x
  2. Step 2: Convert to fraction form
    3,121,505,403.75/7,283,764,317.75 = 7,283,764,317.75/x
  3. Step 3: Cross multiply
    3,121,505,403.75x = 7,283,764,317.75 × 7,283,764,317.75
  4. Step 4: Simplify right side
    3,121,505,403.75x = 53,053,222,636,528,123,904
  5. Step 5: Solve for x
    x = 53,053,222,636,528,123,904/3,121,505,403.75
  6. Step 6: Final answer
    x = 16,996,037,416.05

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.