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Finding the Third Proportional to 1,635,741,563 and 3,520,906,102

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Solution

The third proportional to 1,635,741,563 and 3,520,906,102 is: 7,578,690,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635,741,563 : 3,520,906,102 = 3,520,906,102 : x
  2. Step 2: Convert to fraction form
    1,635,741,563/3,520,906,102 = 3,520,906,102/x
  3. Step 3: Cross multiply
    1,635,741,563x = 3,520,906,102 × 3,520,906,102
  4. Step 4: Simplify right side
    1,635,741,563x = 12,396,779,779,100,833,792
  5. Step 5: Solve for x
    x = 12,396,779,779,100,833,792/1,635,741,563
  6. Step 6: Final answer
    x = 7,578,690,949.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.