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Finding the Third Proportional to 13,623,867 and 22,705,537

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Solution

The third proportional to 13,623,867 and 22,705,537 is: 37,841,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,623,867 : 22,705,537 = 22,705,537 : x
  2. Step 2: Convert to fraction form
    13,623,867/22,705,537 = 22,705,537/x
  3. Step 3: Cross multiply
    13,623,867x = 22,705,537 × 22,705,537
  4. Step 4: Simplify right side
    13,623,867x = 515,541,410,458,369
  5. Step 5: Solve for x
    x = 515,541,410,458,369/13,623,867
  6. Step 6: Final answer
    x = 37,841,048.39

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.