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Finding the Third Proportional to 1,635,741,564 and 3,520,906,104

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Solution

The third proportional to 1,635,741,564 and 3,520,906,104 is: 7,578,690,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635,741,564 : 3,520,906,104 = 3,520,906,104 : x
  2. Step 2: Convert to fraction form
    1,635,741,564/3,520,906,104 = 3,520,906,104/x
  3. Step 3: Cross multiply
    1,635,741,564x = 3,520,906,104 × 3,520,906,104
  4. Step 4: Simplify right side
    1,635,741,564x = 12,396,779,793,184,458,752
  5. Step 5: Solve for x
    x = 12,396,779,793,184,458,752/1,635,741,564
  6. Step 6: Final answer
    x = 7,578,690,953.40

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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.