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Finding the Third Proportional to 8,242,925 and 12,609,165

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Solution

The third proportional to 8,242,925 and 12,609,165 is: 19,288,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242,925 : 12,609,165 = 12,609,165 : x
  2. Step 2: Convert to fraction form
    8,242,925/12,609,165 = 12,609,165/x
  3. Step 3: Cross multiply
    8,242,925x = 12,609,165 × 12,609,165
  4. Step 4: Simplify right side
    8,242,925x = 158,991,041,997,225
  5. Step 5: Solve for x
    x = 158,991,041,997,225/8,242,925
  6. Step 6: Final answer
    x = 19,288,182.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.