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Finding the Third Proportional to 23,734,828 and 48,727,910

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Solution

The third proportional to 23,734,828 and 48,727,910 is: 100,039,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,734,828 : 48,727,910 = 48,727,910 : x
  2. Step 2: Convert to fraction form
    23,734,828/48,727,910 = 48,727,910/x
  3. Step 3: Cross multiply
    23,734,828x = 48,727,910 × 48,727,910
  4. Step 4: Simplify right side
    23,734,828x = 2,374,409,212,968,100
  5. Step 5: Solve for x
    x = 2,374,409,212,968,100/23,734,828
  6. Step 6: Final answer
    x = 100,039,031.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.