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Finding the Third Proportional to 1,279,444,473 and 1,965,725,025.75

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Solution

The third proportional to 1,279,444,473 and 1,965,725,025.75 is: 3,020,119,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,444,473 : 1,965,725,025.75 = 1,965,725,025.75 : x
  2. Step 2: Convert to fraction form
    1,279,444,473/1,965,725,025.75 = 1,965,725,025.75/x
  3. Step 3: Cross multiply
    1,279,444,473x = 1,965,725,025.75 × 1,965,725,025.75
  4. Step 4: Simplify right side
    1,279,444,473x = 3,864,074,876,859,837,952
  5. Step 5: Solve for x
    x = 3,864,074,876,859,837,952/1,279,444,473
  6. Step 6: Final answer
    x = 3,020,119,245.82

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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.