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Finding the Third Proportional to 75,579,696 and 113,349,816

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Solution

The third proportional to 75,579,696 and 113,349,816 is: 169,995,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,579,696 : 113,349,816 = 113,349,816 : x
  2. Step 2: Convert to fraction form
    75,579,696/113,349,816 = 113,349,816/x
  3. Step 3: Cross multiply
    75,579,696x = 113,349,816 × 113,349,816
  4. Step 4: Simplify right side
    75,579,696x = 12,848,180,787,233,856
  5. Step 5: Solve for x
    x = 12,848,180,787,233,856/75,579,696
  6. Step 6: Final answer
    x = 169,995,137.15

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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.