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Finding the Third Proportional to 29,734,890 and 41,873,910

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Solution

The third proportional to 29,734,890 and 41,873,910 is: 58,968,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,734,890 : 41,873,910 = 41,873,910 : x
  2. Step 2: Convert to fraction form
    29,734,890/41,873,910 = 41,873,910/x
  3. Step 3: Cross multiply
    29,734,890x = 41,873,910 × 41,873,910
  4. Step 4: Simplify right side
    29,734,890x = 1,753,424,338,688,100
  5. Step 5: Solve for x
    x = 1,753,424,338,688,100/29,734,890
  6. Step 6: Final answer
    x = 58,968,583.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.