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Finding the Third Proportional to 18,732,292,763 and 40,450,188,121

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Solution

The third proportional to 18,732,292,763 and 40,450,188,121 is: 87,347,434,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,732,292,763 : 40,450,188,121 = 40,450,188,121 : x
  2. Step 2: Convert to fraction form
    18,732,292,763/40,450,188,121 = 40,450,188,121/x
  3. Step 3: Cross multiply
    18,732,292,763x = 40,450,188,121 × 40,450,188,121
  4. Step 4: Simplify right side
    18,732,292,763x = 1,636,217,719,024,289,579,008
  5. Step 5: Solve for x
    x = 1,636,217,719,024,289,579,008/18,732,292,763
  6. Step 6: Final answer
    x = 87,347,434,706.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.