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Finding the Third Proportional to 5,740,534,212 and 7,981,753,969.75

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Solution

The third proportional to 5,740,534,212 and 7,981,753,969.75 is: 11,097,990,897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740,534,212 : 7,981,753,969.75 = 7,981,753,969.75 : x
  2. Step 2: Convert to fraction form
    5,740,534,212/7,981,753,969.75 = 7,981,753,969.75/x
  3. Step 3: Cross multiply
    5,740,534,212x = 7,981,753,969.75 × 7,981,753,969.75
  4. Step 4: Simplify right side
    5,740,534,212x = 63,708,396,433,619,886,080
  5. Step 5: Solve for x
    x = 63,708,396,433,619,886,080/5,740,534,212
  6. Step 6: Final answer
    x = 11,097,990,897.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.