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Finding the Third Proportional to 8,416,632 and 18,407,760

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Solution

The third proportional to 8,416,632 and 18,407,760 is: 40,259,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416,632 : 18,407,760 = 18,407,760 : x
  2. Step 2: Convert to fraction form
    8,416,632/18,407,760 = 18,407,760/x
  3. Step 3: Cross multiply
    8,416,632x = 18,407,760 × 18,407,760
  4. Step 4: Simplify right side
    8,416,632x = 338,845,628,217,600
  5. Step 5: Solve for x
    x = 338,845,628,217,600/8,416,632
  6. Step 6: Final answer
    x = 40,259,052.34

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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.