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Finding the Third Proportional to 59,192,994,006 and 138,121,758,990

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Solution

The third proportional to 59,192,994,006 and 138,121,758,990 is: 322,295,241,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,192,994,006 : 138,121,758,990 = 138,121,758,990 : x
  2. Step 2: Convert to fraction form
    59,192,994,006/138,121,758,990 = 138,121,758,990/x
  3. Step 3: Cross multiply
    59,192,994,006x = 138,121,758,990 × 138,121,758,990
  4. Step 4: Simplify right side
    59,192,994,006x = 19,077,620,306,491,643,789,312
  5. Step 5: Solve for x
    x = 19,077,620,306,491,643,789,312/59,192,994,006
  6. Step 6: Final answer
    x = 322,295,241,638.87

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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.