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Finding the Third Proportional to 320,252,628 and 649,416,660

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Solution

The third proportional to 320,252,628 and 649,416,660 is: 1,316,904,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,252,628 : 649,416,660 = 649,416,660 : x
  2. Step 2: Convert to fraction form
    320,252,628/649,416,660 = 649,416,660/x
  3. Step 3: Cross multiply
    320,252,628x = 649,416,660 × 649,416,660
  4. Step 4: Simplify right side
    320,252,628x = 421,741,998,285,555,584
  5. Step 5: Solve for x
    x = 421,741,998,285,555,584/320,252,628
  6. Step 6: Final answer
    x = 1,316,904,098.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.