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Finding the Third Proportional to 19,066,824 and 24,481,294

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Solution

The third proportional to 19,066,824 and 24,481,294 is: 31,433,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,066,824 : 24,481,294 = 24,481,294 : x
  2. Step 2: Convert to fraction form
    19,066,824/24,481,294 = 24,481,294/x
  3. Step 3: Cross multiply
    19,066,824x = 24,481,294 × 24,481,294
  4. Step 4: Simplify right side
    19,066,824x = 599,333,755,914,436
  5. Step 5: Solve for x
    x = 599,333,755,914,436/19,066,824
  6. Step 6: Final answer
    x = 31,433,329.22

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.