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Finding the Third Proportional to 1,068,399,265.50 and 2,354,160,975

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Solution

The third proportional to 1,068,399,265.50 and 2,354,160,975 is: 5,187,268,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,399,265.50 : 2,354,160,975 = 2,354,160,975 : x
  2. Step 2: Convert to fraction form
    1,068,399,265.50/2,354,160,975 = 2,354,160,975/x
  3. Step 3: Cross multiply
    1,068,399,265.50x = 2,354,160,975 × 2,354,160,975
  4. Step 4: Simplify right side
    1,068,399,265.50x = 5,542,073,896,212,951,040
  5. Step 5: Solve for x
    x = 5,542,073,896,212,951,040/1,068,399,265.50
  6. Step 6: Final answer
    x = 5,187,268,538.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.