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Finding the Third Proportional to 1,940,565,200 and 4,221,137,500

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Solution

The third proportional to 1,940,565,200 and 4,221,137,500 is: 9,181,861,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940,565,200 : 4,221,137,500 = 4,221,137,500 : x
  2. Step 2: Convert to fraction form
    1,940,565,200/4,221,137,500 = 4,221,137,500/x
  3. Step 3: Cross multiply
    1,940,565,200x = 4,221,137,500 × 4,221,137,500
  4. Step 4: Simplify right side
    1,940,565,200x = 17,818,001,793,906,249,728
  5. Step 5: Solve for x
    x = 17,818,001,793,906,249,728/1,940,565,200
  6. Step 6: Final answer
    x = 9,181,861,961.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.