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Finding the Third Proportional to 8,328,825 and 12,598,213.50

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Solution

The third proportional to 8,328,825 and 12,598,213.50 is: 19,056,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,328,825 : 12,598,213.50 = 12,598,213.50 : x
  2. Step 2: Convert to fraction form
    8,328,825/12,598,213.50 = 12,598,213.50/x
  3. Step 3: Cross multiply
    8,328,825x = 12,598,213.50 × 12,598,213.50
  4. Step 4: Simplify right side
    8,328,825x = 158,714,983,391,582.25
  5. Step 5: Solve for x
    x = 158,714,983,391,582.25/8,328,825
  6. Step 6: Final answer
    x = 19,056,107.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.