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Finding the Third Proportional to 2,857,974,456 and 6,129,469,302

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Solution

The third proportional to 2,857,974,456 and 6,129,469,302 is: 13,145,811,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,974,456 : 6,129,469,302 = 6,129,469,302 : x
  2. Step 2: Convert to fraction form
    2,857,974,456/6,129,469,302 = 6,129,469,302/x
  3. Step 3: Cross multiply
    2,857,974,456x = 6,129,469,302 × 6,129,469,302
  4. Step 4: Simplify right side
    2,857,974,456x = 37,570,393,924,160,364,544
  5. Step 5: Solve for x
    x = 37,570,393,924,160,364,544/2,857,974,456
  6. Step 6: Final answer
    x = 13,145,811,658.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.