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Finding the Third Proportional to 22,476,469,461,032 and 35,764,481,429,859

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Solution

The third proportional to 22,476,469,461,032 and 35,764,481,429,859 is: 56,908,320,684,631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,476,469,461,032 : 35,764,481,429,859 = 35,764,481,429,859 : x
  2. Step 2: Convert to fraction form
    22,476,469,461,032/35,764,481,429,859 = 35,764,481,429,859/x
  3. Step 3: Cross multiply
    22,476,469,461,032x = 35,764,481,429,859 × 35,764,481,429,859
  4. Step 4: Simplify right side
    22,476,469,461,032x = 1,279,098,131,946,729,379,299,590,144
  5. Step 5: Solve for x
    x = 1,279,098,131,946,729,379,299,590,144/22,476,469,461,032
  6. Step 6: Final answer
    x = 56,908,320,684,631.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.