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Finding the Third Proportional to 11,729,558,236,448 and 25,251,758,102,564

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Solution

The third proportional to 11,729,558,236,448 and 25,251,758,102,564 is: 54,362,770,908,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729,558,236,448 : 25,251,758,102,564 = 25,251,758,102,564 : x
  2. Step 2: Convert to fraction form
    11,729,558,236,448/25,251,758,102,564 = 25,251,758,102,564/x
  3. Step 3: Cross multiply
    11,729,558,236,448x = 25,251,758,102,564 × 25,251,758,102,564
  4. Step 4: Simplify right side
    11,729,558,236,448x = 637,651,287,270,406,608,037,871,616
  5. Step 5: Solve for x
    x = 637,651,287,270,406,608,037,871,616/11,729,558,236,448
  6. Step 6: Final answer
    x = 54,362,770,908,881.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.