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Finding the Third Proportional to 1,635,741,560 and 3,520,906,096

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Solution

The third proportional to 1,635,741,560 and 3,520,906,096 is: 7,578,690,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635,741,560 : 3,520,906,096 = 3,520,906,096 : x
  2. Step 2: Convert to fraction form
    1,635,741,560/3,520,906,096 = 3,520,906,096/x
  3. Step 3: Cross multiply
    1,635,741,560x = 3,520,906,096 × 3,520,906,096
  4. Step 4: Simplify right side
    1,635,741,560x = 12,396,779,736,849,960,960
  5. Step 5: Solve for x
    x = 12,396,779,736,849,960,960/1,635,741,560
  6. Step 6: Final answer
    x = 7,578,690,937.49

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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.