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Finding the Third Proportional to 23,384,892,800 and 54,566,634,578

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Solution

The third proportional to 23,384,892,800 and 54,566,634,578 is: 127,326,545,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384,892,800 : 54,566,634,578 = 54,566,634,578 : x
  2. Step 2: Convert to fraction form
    23,384,892,800/54,566,634,578 = 54,566,634,578/x
  3. Step 3: Cross multiply
    23,384,892,800x = 54,566,634,578 × 54,566,634,578
  4. Step 4: Simplify right side
    23,384,892,800x = 2,977,517,609,168,985,391,104
  5. Step 5: Solve for x
    x = 2,977,517,609,168,985,391,104/23,384,892,800
  6. Step 6: Final answer
    x = 127,326,545,160.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.