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Finding the Third Proportional to 1,388,791,874 and 2,115,746,431

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Solution

The third proportional to 1,388,791,874 and 2,115,746,431 is: 3,223,220,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388,791,874 : 2,115,746,431 = 2,115,746,431 : x
  2. Step 2: Convert to fraction form
    1,388,791,874/2,115,746,431 = 2,115,746,431/x
  3. Step 3: Cross multiply
    1,388,791,874x = 2,115,746,431 × 2,115,746,431
  4. Step 4: Simplify right side
    1,388,791,874x = 4,476,382,960,289,238,016
  5. Step 5: Solve for x
    x = 4,476,382,960,289,238,016/1,388,791,874
  6. Step 6: Final answer
    x = 3,223,220,875.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.