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Finding the Third Proportional to 1,574,542,507.50 and 3,382,751,367

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Solution

The third proportional to 1,574,542,507.50 and 3,382,751,367 is: 7,267,512,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,542,507.50 : 3,382,751,367 = 3,382,751,367 : x
  2. Step 2: Convert to fraction form
    1,574,542,507.50/3,382,751,367 = 3,382,751,367/x
  3. Step 3: Cross multiply
    1,574,542,507.50x = 3,382,751,367 × 3,382,751,367
  4. Step 4: Simplify right side
    1,574,542,507.50x = 11,443,006,810,940,368,896
  5. Step 5: Solve for x
    x = 11,443,006,810,940,368,896/1,574,542,507.50
  6. Step 6: Final answer
    x = 7,267,512,154.44

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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.