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Finding the Third Proportional to 1,193,647,364 and 2,568,693,310

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Solution

The third proportional to 1,193,647,364 and 2,568,693,310 is: 5,527,750,925.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,647,364 : 2,568,693,310 = 2,568,693,310 : x
  2. Step 2: Convert to fraction form
    1,193,647,364/2,568,693,310 = 2,568,693,310/x
  3. Step 3: Cross multiply
    1,193,647,364x = 2,568,693,310 × 2,568,693,310
  4. Step 4: Simplify right side
    1,193,647,364x = 6,598,185,320,838,756,352
  5. Step 5: Solve for x
    x = 6,598,185,320,838,756,352/1,193,647,364
  6. Step 6: Final answer
    x = 5,527,750,925.30

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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.