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Finding the Third Proportional to 6,649,098 and 14,098,851

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Solution

The third proportional to 6,649,098 and 14,098,851 is: 29,895,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,098 : 14,098,851 = 14,098,851 : x
  2. Step 2: Convert to fraction form
    6,649,098/14,098,851 = 14,098,851/x
  3. Step 3: Cross multiply
    6,649,098x = 14,098,851 × 14,098,851
  4. Step 4: Simplify right side
    6,649,098x = 198,777,599,520,201
  5. Step 5: Solve for x
    x = 198,777,599,520,201/6,649,098
  6. Step 6: Final answer
    x = 29,895,423.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.