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Finding the Third Proportional to 19,631,824 and 41,993,023

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Solution

The third proportional to 19,631,824 and 41,993,023 is: 89,824,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,631,824 : 41,993,023 = 41,993,023 : x
  2. Step 2: Convert to fraction form
    19,631,824/41,993,023 = 41,993,023/x
  3. Step 3: Cross multiply
    19,631,824x = 41,993,023 × 41,993,023
  4. Step 4: Simplify right side
    19,631,824x = 1,763,413,980,678,529
  5. Step 5: Solve for x
    x = 1,763,413,980,678,529/19,631,824
  6. Step 6: Final answer
    x = 89,824,255.79

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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.