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Finding the Third Proportional to 47,836,416 and 102,050,880

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Solution

The third proportional to 47,836,416 and 102,050,880 is: 217,708,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,836,416 : 102,050,880 = 102,050,880 : x
  2. Step 2: Convert to fraction form
    47,836,416/102,050,880 = 102,050,880/x
  3. Step 3: Cross multiply
    47,836,416x = 102,050,880 × 102,050,880
  4. Step 4: Simplify right side
    47,836,416x = 10,414,382,108,774,400
  5. Step 5: Solve for x
    x = 10,414,382,108,774,400/47,836,416
  6. Step 6: Final answer
    x = 217,708,243.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.