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Finding the Third Proportional to 1,678,163,619 and 2,632,543,529

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Solution

The third proportional to 1,678,163,619 and 2,632,543,529 is: 4,129,683,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678,163,619 : 2,632,543,529 = 2,632,543,529 : x
  2. Step 2: Convert to fraction form
    1,678,163,619/2,632,543,529 = 2,632,543,529/x
  3. Step 3: Cross multiply
    1,678,163,619x = 2,632,543,529 × 2,632,543,529
  4. Step 4: Simplify right side
    1,678,163,619x = 6,930,285,432,079,773,696
  5. Step 5: Solve for x
    x = 6,930,285,432,079,773,696/1,678,163,619
  6. Step 6: Final answer
    x = 4,129,683,991.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.