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Finding the Third Proportional to 13,201,824 and 21,006,693

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Solution

The third proportional to 13,201,824 and 21,006,693 is: 33,425,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201,824 : 21,006,693 = 21,006,693 : x
  2. Step 2: Convert to fraction form
    13,201,824/21,006,693 = 21,006,693/x
  3. Step 3: Cross multiply
    13,201,824x = 21,006,693 × 21,006,693
  4. Step 4: Simplify right side
    13,201,824x = 441,281,150,796,249
  5. Step 5: Solve for x
    x = 441,281,150,796,249/13,201,824
  6. Step 6: Final answer
    x = 33,425,771.38

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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.