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Finding the Third Proportional to 957,138,697.13 and 2,077,629,891.75

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Solution

The third proportional to 957,138,697.13 and 2,077,629,891.75 is: 4,509,843,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,138,697.13 : 2,077,629,891.75 = 2,077,629,891.75 : x
  2. Step 2: Convert to fraction form
    957,138,697.13/2,077,629,891.75 = 2,077,629,891.75/x
  3. Step 3: Cross multiply
    957,138,697.13x = 2,077,629,891.75 × 2,077,629,891.75
  4. Step 4: Simplify right side
    957,138,697.13x = 4,316,545,967,093,116,928
  5. Step 5: Solve for x
    x = 4,316,545,967,093,116,928/957,138,697.13
  6. Step 6: Final answer
    x = 4,509,843,745.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.