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Finding the Third Proportional to 1,080,102,200 and 2,356,454,584

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Solution

The third proportional to 1,080,102,200 and 2,356,454,584 is: 5,141,067,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080,102,200 : 2,356,454,584 = 2,356,454,584 : x
  2. Step 2: Convert to fraction form
    1,080,102,200/2,356,454,584 = 2,356,454,584/x
  3. Step 3: Cross multiply
    1,080,102,200x = 2,356,454,584 × 2,356,454,584
  4. Step 4: Simplify right side
    1,080,102,200x = 5,552,878,206,454,612,992
  5. Step 5: Solve for x
    x = 5,552,878,206,454,612,992/1,080,102,200
  6. Step 6: Final answer
    x = 5,141,067,397.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.