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Finding the Third Proportional to 12,311,586,932 and 24,965,758,160

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Solution

The third proportional to 12,311,586,932 and 24,965,758,160 is: 50,626,217,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311,586,932 : 24,965,758,160 = 24,965,758,160 : x
  2. Step 2: Convert to fraction form
    12,311,586,932/24,965,758,160 = 24,965,758,160/x
  3. Step 3: Cross multiply
    12,311,586,932x = 24,965,758,160 × 24,965,758,160
  4. Step 4: Simplify right side
    12,311,586,932x = 623,289,080,503,606,575,104
  5. Step 5: Solve for x
    x = 623,289,080,503,606,575,104/12,311,586,932
  6. Step 6: Final answer
    x = 50,626,217,720.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.