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Finding the Third Proportional to 8,550,649 and 18,811,409

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Solution

The third proportional to 8,550,649 and 18,811,409 is: 41,385,058.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,550,649 : 18,811,409 = 18,811,409 : x
  2. Step 2: Convert to fraction form
    8,550,649/18,811,409 = 18,811,409/x
  3. Step 3: Cross multiply
    8,550,649x = 18,811,409 × 18,811,409
  4. Step 4: Simplify right side
    8,550,649x = 353,869,108,565,281
  5. Step 5: Solve for x
    x = 353,869,108,565,281/8,550,649
  6. Step 6: Final answer
    x = 41,385,058.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.