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Finding the Third Proportional to 37,183,284 and 80,541,216

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Solution

The third proportional to 37,183,284 and 80,541,216 is: 174,457,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,183,284 : 80,541,216 = 80,541,216 : x
  2. Step 2: Convert to fraction form
    37,183,284/80,541,216 = 80,541,216/x
  3. Step 3: Cross multiply
    37,183,284x = 80,541,216 × 80,541,216
  4. Step 4: Simplify right side
    37,183,284x = 6,486,887,474,758,656
  5. Step 5: Solve for x
    x = 6,486,887,474,758,656/37,183,284
  6. Step 6: Final answer
    x = 174,457,088.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.