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Finding the Third Proportional to 35,524,884 and 76,531,416

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Solution

The third proportional to 35,524,884 and 76,531,416 is: 164,871,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,524,884 : 76,531,416 = 76,531,416 : x
  2. Step 2: Convert to fraction form
    35,524,884/76,531,416 = 76,531,416/x
  3. Step 3: Cross multiply
    35,524,884x = 76,531,416 × 76,531,416
  4. Step 4: Simplify right side
    35,524,884x = 5,857,057,634,965,056
  5. Step 5: Solve for x
    x = 5,857,057,634,965,056/35,524,884
  6. Step 6: Final answer
    x = 164,871,970.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.