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Finding the Third Proportional to 8,117,046 and 12,186,246

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Solution

The third proportional to 8,117,046 and 12,186,246 is: 18,295,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117,046 : 12,186,246 = 12,186,246 : x
  2. Step 2: Convert to fraction form
    8,117,046/12,186,246 = 12,186,246/x
  3. Step 3: Cross multiply
    8,117,046x = 12,186,246 × 12,186,246
  4. Step 4: Simplify right side
    8,117,046x = 148,504,591,572,516
  5. Step 5: Solve for x
    x = 148,504,591,572,516/8,117,046
  6. Step 6: Final answer
    x = 18,295,398.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.