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Finding the Third Proportional to 816,988,247,640 and 1,787,879,172,420

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Solution

The third proportional to 816,988,247,640 and 1,787,879,172,420 is: 3,912,555,589,883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,988,247,640 : 1,787,879,172,420 = 1,787,879,172,420 : x
  2. Step 2: Convert to fraction form
    816,988,247,640/1,787,879,172,420 = 1,787,879,172,420/x
  3. Step 3: Cross multiply
    816,988,247,640x = 1,787,879,172,420 × 1,787,879,172,420
  4. Step 4: Simplify right side
    816,988,247,640x = 3,196,511,935,173,223,964,999,680
  5. Step 5: Solve for x
    x = 3,196,511,935,173,223,964,999,680/816,988,247,640
  6. Step 6: Final answer
    x = 3,912,555,589,883.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.