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Finding the Third Proportional to 75,578,942 and 113,348,703

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Solution

The third proportional to 75,578,942 and 113,348,703 is: 169,993,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578,942 : 113,348,703 = 113,348,703 : x
  2. Step 2: Convert to fraction form
    75,578,942/113,348,703 = 113,348,703/x
  3. Step 3: Cross multiply
    75,578,942x = 113,348,703 × 113,348,703
  4. Step 4: Simplify right side
    75,578,942x = 12,847,928,471,782,208
  5. Step 5: Solve for x
    x = 12,847,928,471,782,208/75,578,942
  6. Step 6: Final answer
    x = 169,993,494.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.