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Finding the Third Proportional to 75,524,061 and 116,622,363.75

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Solution

The third proportional to 75,524,061 and 116,622,363.75 is: 180,085,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,524,061 : 116,622,363.75 = 116,622,363.75 : x
  2. Step 2: Convert to fraction form
    75,524,061/116,622,363.75 = 116,622,363.75/x
  3. Step 3: Cross multiply
    75,524,061x = 116,622,363.75 × 116,622,363.75
  4. Step 4: Simplify right side
    75,524,061x = 13,600,775,726,637,314
  5. Step 5: Solve for x
    x = 13,600,775,726,637,314/75,524,061
  6. Step 6: Final answer
    x = 180,085,333.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.