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Finding the Third Proportional to 46,072,577 and 100,823,170

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Solution

The third proportional to 46,072,577 and 100,823,170 is: 220,636,922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,072,577 : 100,823,170 = 100,823,170 : x
  2. Step 2: Convert to fraction form
    46,072,577/100,823,170 = 100,823,170/x
  3. Step 3: Cross multiply
    46,072,577x = 100,823,170 × 100,823,170
  4. Step 4: Simplify right side
    46,072,577x = 10,165,311,608,848,900
  5. Step 5: Solve for x
    x = 10,165,311,608,848,900/46,072,577
  6. Step 6: Final answer
    x = 220,636,922.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.