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Finding the Third Proportional to 75,578,859 and 113,348,605.50

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Solution

The third proportional to 75,578,859 and 113,348,605.50 is: 169,993,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578,859 : 113,348,605.50 = 113,348,605.50 : x
  2. Step 2: Convert to fraction form
    75,578,859/113,348,605.50 = 113,348,605.50/x
  3. Step 3: Cross multiply
    75,578,859x = 113,348,605.50 × 113,348,605.50
  4. Step 4: Simplify right side
    75,578,859x = 12,847,906,368,794,630
  5. Step 5: Solve for x
    x = 12,847,906,368,794,630/75,578,859
  6. Step 6: Final answer
    x = 169,993,388.88

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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.