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Finding the Third Proportional to 4,142,214 and 8,860,122

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Solution

The third proportional to 4,142,214 and 8,860,122 is: 18,951,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142,214 : 8,860,122 = 8,860,122 : x
  2. Step 2: Convert to fraction form
    4,142,214/8,860,122 = 8,860,122/x
  3. Step 3: Cross multiply
    4,142,214x = 8,860,122 × 8,860,122
  4. Step 4: Simplify right side
    4,142,214x = 78,501,761,854,884
  5. Step 5: Solve for x
    x = 78,501,761,854,884/4,142,214
  6. Step 6: Final answer
    x = 18,951,643.22

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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.