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Finding the Third Proportional to 23,621,997 and 49,129,641

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Solution

The third proportional to 23,621,997 and 49,129,641 is: 102,181,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,621,997 : 49,129,641 = 49,129,641 : x
  2. Step 2: Convert to fraction form
    23,621,997/49,129,641 = 49,129,641/x
  3. Step 3: Cross multiply
    23,621,997x = 49,129,641 × 49,129,641
  4. Step 4: Simplify right side
    23,621,997x = 2,413,721,624,788,881
  5. Step 5: Solve for x
    x = 2,413,721,624,788,881/23,621,997
  6. Step 6: Final answer
    x = 102,181,099.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.