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Finding the Third Proportional to 1,247,207,380 and 2,678,647,208

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Solution

The third proportional to 1,247,207,380 and 2,678,647,208 is: 5,752,973,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,207,380 : 2,678,647,208 = 2,678,647,208 : x
  2. Step 2: Convert to fraction form
    1,247,207,380/2,678,647,208 = 2,678,647,208/x
  3. Step 3: Cross multiply
    1,247,207,380x = 2,678,647,208 × 2,678,647,208
  4. Step 4: Simplify right side
    1,247,207,380x = 7,175,150,864,926,195,712
  5. Step 5: Solve for x
    x = 7,175,150,864,926,195,712/1,247,207,380
  6. Step 6: Final answer
    x = 5,752,973,386.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.