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Finding the Third Proportional to 1,039,270,406 and 2,152,207,652

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Solution

The third proportional to 1,039,270,406 and 2,152,207,652 is: 4,456,970,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039,270,406 : 2,152,207,652 = 2,152,207,652 : x
  2. Step 2: Convert to fraction form
    1,039,270,406/2,152,207,652 = 2,152,207,652/x
  3. Step 3: Cross multiply
    1,039,270,406x = 2,152,207,652 × 2,152,207,652
  4. Step 4: Simplify right side
    1,039,270,406x = 4,631,997,777,327,352,832
  5. Step 5: Solve for x
    x = 4,631,997,777,327,352,832/1,039,270,406
  6. Step 6: Final answer
    x = 4,456,970,727.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.