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Finding the Third Proportional to 10,542,137 and 23,101,462

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Solution

The third proportional to 10,542,137 and 23,101,462 is: 50,623,279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542,137 : 23,101,462 = 23,101,462 : x
  2. Step 2: Convert to fraction form
    10,542,137/23,101,462 = 23,101,462/x
  3. Step 3: Cross multiply
    10,542,137x = 23,101,462 × 23,101,462
  4. Step 4: Simplify right side
    10,542,137x = 533,677,546,537,444
  5. Step 5: Solve for x
    x = 533,677,546,537,444/10,542,137
  6. Step 6: Final answer
    x = 50,623,279.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.