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Finding the Third Proportional to 1,278,423,862 and 2,986,976,048

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Solution

The third proportional to 1,278,423,862 and 2,986,976,048 is: 6,978,926,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,423,862 : 2,986,976,048 = 2,986,976,048 : x
  2. Step 2: Convert to fraction form
    1,278,423,862/2,986,976,048 = 2,986,976,048/x
  3. Step 3: Cross multiply
    1,278,423,862x = 2,986,976,048 × 2,986,976,048
  4. Step 4: Simplify right side
    1,278,423,862x = 8,922,025,911,325,698,048
  5. Step 5: Solve for x
    x = 8,922,025,911,325,698,048/1,278,423,862
  6. Step 6: Final answer
    x = 6,978,926,298.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.