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Finding the Third Proportional to 48,476,638 and 103,671,739

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Solution

The third proportional to 48,476,638 and 103,671,739 is: 221,711,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476,638 : 103,671,739 = 103,671,739 : x
  2. Step 2: Convert to fraction form
    48,476,638/103,671,739 = 103,671,739/x
  3. Step 3: Cross multiply
    48,476,638x = 103,671,739 × 103,671,739
  4. Step 4: Simplify right side
    48,476,638x = 10,747,829,467,284,120
  5. Step 5: Solve for x
    x = 10,747,829,467,284,120/48,476,638
  6. Step 6: Final answer
    x = 221,711,527.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.