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Finding the Third Proportional to 40,428,814 and 87,941,168

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Solution

The third proportional to 40,428,814 and 87,941,168 is: 191,290,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,428,814 : 87,941,168 = 87,941,168 : x
  2. Step 2: Convert to fraction form
    40,428,814/87,941,168 = 87,941,168/x
  3. Step 3: Cross multiply
    40,428,814x = 87,941,168 × 87,941,168
  4. Step 4: Simplify right side
    40,428,814x = 7,733,649,029,204,224
  5. Step 5: Solve for x
    x = 7,733,649,029,204,224/40,428,814
  6. Step 6: Final answer
    x = 191,290,524.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.