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Finding the Third Proportional to 3,414,607,162 and 7,904,323,319

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Solution

The third proportional to 3,414,607,162 and 7,904,323,319 is: 18,297,368,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414,607,162 : 7,904,323,319 = 7,904,323,319 : x
  2. Step 2: Convert to fraction form
    3,414,607,162/7,904,323,319 = 7,904,323,319/x
  3. Step 3: Cross multiply
    3,414,607,162x = 7,904,323,319 × 7,904,323,319
  4. Step 4: Simplify right side
    3,414,607,162x = 62,478,327,131,287,175,168
  5. Step 5: Solve for x
    x = 62,478,327,131,287,175,168/3,414,607,162
  6. Step 6: Final answer
    x = 18,297,368,970.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.