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Finding the Third Proportional to 22,476,469,461,030 and 35,764,481,429,856

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Solution

The third proportional to 22,476,469,461,030 and 35,764,481,429,856 is: 56,908,320,684,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,476,469,461,030 : 35,764,481,429,856 = 35,764,481,429,856 : x
  2. Step 2: Convert to fraction form
    22,476,469,461,030/35,764,481,429,856 = 35,764,481,429,856/x
  3. Step 3: Cross multiply
    22,476,469,461,030x = 35,764,481,429,856 × 35,764,481,429,856
  4. Step 4: Simplify right side
    22,476,469,461,030x = 1,279,098,131,946,514,699,654,266,880
  5. Step 5: Solve for x
    x = 1,279,098,131,946,514,699,654,266,880/22,476,469,461,030
  6. Step 6: Final answer
    x = 56,908,320,684,626.73

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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.