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Finding the Third Proportional to 608,451,632 and 1,328,400,736

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Solution

The third proportional to 608,451,632 and 1,328,400,736 is: 2,900,228,091.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,451,632 : 1,328,400,736 = 1,328,400,736 : x
  2. Step 2: Convert to fraction form
    608,451,632/1,328,400,736 = 1,328,400,736/x
  3. Step 3: Cross multiply
    608,451,632x = 1,328,400,736 × 1,328,400,736
  4. Step 4: Simplify right side
    608,451,632x = 1,764,648,515,405,341,696
  5. Step 5: Solve for x
    x = 1,764,648,515,405,341,696/608,451,632
  6. Step 6: Final answer
    x = 2,900,228,091.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.