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Finding the Third Proportional to 4,301,982,615.23 and 9,257,737,500.56

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Solution

The third proportional to 4,301,982,615.23 and 9,257,737,500.56 is: 19,922,373,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301,982,615.23 : 9,257,737,500.56 = 9,257,737,500.56 : x
  2. Step 2: Convert to fraction form
    4,301,982,615.23/9,257,737,500.56 = 9,257,737,500.56/x
  3. Step 3: Cross multiply
    4,301,982,615.23x = 9,257,737,500.56 × 9,257,737,500.56
  4. Step 4: Simplify right side
    4,301,982,615.23x = 85,705,703,629,321,207,808
  5. Step 5: Solve for x
    x = 85,705,703,629,321,207,808/4,301,982,615.23
  6. Step 6: Final answer
    x = 19,922,373,308.95

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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.