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Finding the Third Proportional to 17,777,409,391 and 25,685,286,625

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Solution

The third proportional to 17,777,409,391 and 25,685,286,625 is: 37,110,803,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777,409,391 : 25,685,286,625 = 25,685,286,625 : x
  2. Step 2: Convert to fraction form
    17,777,409,391/25,685,286,625 = 25,685,286,625/x
  3. Step 3: Cross multiply
    17,777,409,391x = 25,685,286,625 × 25,685,286,625
  4. Step 4: Simplify right side
    17,777,409,391x = 659,733,949,008,403,890,176
  5. Step 5: Solve for x
    x = 659,733,949,008,403,890,176/17,777,409,391
  6. Step 6: Final answer
    x = 37,110,803,632.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.