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Finding the Third Proportional to 54,855,992,511 and 83,923,526,565

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Solution

The third proportional to 54,855,992,511 and 83,923,526,565 is: 128,393,599,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,855,992,511 : 83,923,526,565 = 83,923,526,565 : x
  2. Step 2: Convert to fraction form
    54,855,992,511/83,923,526,565 = 83,923,526,565/x
  3. Step 3: Cross multiply
    54,855,992,511x = 83,923,526,565 × 83,923,526,565
  4. Step 4: Simplify right side
    54,855,992,511x = 7,043,158,311,106,260,238,336
  5. Step 5: Solve for x
    x = 7,043,158,311,106,260,238,336/54,855,992,511
  6. Step 6: Final answer
    x = 128,393,599,107.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.