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Finding the Third Proportional to 1,363,388,766 and 2,944,701,228

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Solution

The third proportional to 1,363,388,766 and 2,944,701,228 is: 6,360,082,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363,388,766 : 2,944,701,228 = 2,944,701,228 : x
  2. Step 2: Convert to fraction form
    1,363,388,766/2,944,701,228 = 2,944,701,228/x
  3. Step 3: Cross multiply
    1,363,388,766x = 2,944,701,228 × 2,944,701,228
  4. Step 4: Simplify right side
    1,363,388,766x = 8,671,265,322,184,708,096
  5. Step 5: Solve for x
    x = 8,671,265,322,184,708,096/1,363,388,766
  6. Step 6: Final answer
    x = 6,360,082,713.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.