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Finding the Third Proportional to 4,360,419,744 and 9,565,026,132

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Solution

The third proportional to 4,360,419,744 and 9,565,026,132 is: 20,981,861,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,360,419,744 : 9,565,026,132 = 9,565,026,132 : x
  2. Step 2: Convert to fraction form
    4,360,419,744/9,565,026,132 = 9,565,026,132/x
  3. Step 3: Cross multiply
    4,360,419,744x = 9,565,026,132 × 9,565,026,132
  4. Step 4: Simplify right side
    4,360,419,744x = 91,489,724,905,842,884,608
  5. Step 5: Solve for x
    x = 91,489,724,905,842,884,608/4,360,419,744
  6. Step 6: Final answer
    x = 20,981,861,902.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.