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Finding the Third Proportional to 4,557,086,848 and 9,355,758,464

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Solution

The third proportional to 4,557,086,848 and 9,355,758,464 is: 19,207,493,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557,086,848 : 9,355,758,464 = 9,355,758,464 : x
  2. Step 2: Convert to fraction form
    4,557,086,848/9,355,758,464 = 9,355,758,464/x
  3. Step 3: Cross multiply
    4,557,086,848x = 9,355,758,464 × 9,355,758,464
  4. Step 4: Simplify right side
    4,557,086,848x = 87,530,216,436,707,639,296
  5. Step 5: Solve for x
    x = 87,530,216,436,707,639,296/4,557,086,848
  6. Step 6: Final answer
    x = 19,207,493,593.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.