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Finding the Third Proportional to 44,942,099 and 67,885,451

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Solution

The third proportional to 44,942,099 and 67,885,451 is: 102,541,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,942,099 : 67,885,451 = 67,885,451 : x
  2. Step 2: Convert to fraction form
    44,942,099/67,885,451 = 67,885,451/x
  3. Step 3: Cross multiply
    44,942,099x = 67,885,451 × 67,885,451
  4. Step 4: Simplify right side
    44,942,099x = 4,608,434,457,473,401
  5. Step 5: Solve for x
    x = 4,608,434,457,473,401/44,942,099
  6. Step 6: Final answer
    x = 102,541,593.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.