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Finding the Third Proportional to 1,346,172,527.25 and 2,067,885,828

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Solution

The third proportional to 1,346,172,527.25 and 2,067,885,828 is: 3,176,525,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,172,527.25 : 2,067,885,828 = 2,067,885,828 : x
  2. Step 2: Convert to fraction form
    1,346,172,527.25/2,067,885,828 = 2,067,885,828/x
  3. Step 3: Cross multiply
    1,346,172,527.25x = 2,067,885,828 × 2,067,885,828
  4. Step 4: Simplify right side
    1,346,172,527.25x = 4,276,151,797,643,245,568
  5. Step 5: Solve for x
    x = 4,276,151,797,643,245,568/1,346,172,527.25
  6. Step 6: Final answer
    x = 3,176,525,824.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.