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Finding the Third Proportional to 103,673,638 and 222,732,682

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Solution

The third proportional to 103,673,638 and 222,732,682 is: 478,519,405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,673,638 : 222,732,682 = 222,732,682 : x
  2. Step 2: Convert to fraction form
    103,673,638/222,732,682 = 222,732,682/x
  3. Step 3: Cross multiply
    103,673,638x = 222,732,682 × 222,732,682
  4. Step 4: Simplify right side
    103,673,638x = 49,609,847,630,913,120
  5. Step 5: Solve for x
    x = 49,609,847,630,913,120/103,673,638
  6. Step 6: Final answer
    x = 478,519,405.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.