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Finding the Third Proportional to 13,380,100 and 21,266,430

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Solution

The third proportional to 13,380,100 and 21,266,430 is: 33,801,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380,100 : 21,266,430 = 21,266,430 : x
  2. Step 2: Convert to fraction form
    13,380,100/21,266,430 = 21,266,430/x
  3. Step 3: Cross multiply
    13,380,100x = 21,266,430 × 21,266,430
  4. Step 4: Simplify right side
    13,380,100x = 452,261,044,944,900
  5. Step 5: Solve for x
    x = 452,261,044,944,900/13,380,100
  6. Step 6: Final answer
    x = 33,801,021.29

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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.