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Finding the Third Proportional to 8,184,516 and 12,226,230

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Solution

The third proportional to 8,184,516 and 12,226,230 is: 18,263,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184,516 : 12,226,230 = 12,226,230 : x
  2. Step 2: Convert to fraction form
    8,184,516/12,226,230 = 12,226,230/x
  3. Step 3: Cross multiply
    8,184,516x = 12,226,230 × 12,226,230
  4. Step 4: Simplify right side
    8,184,516x = 149,480,700,012,900
  5. Step 5: Solve for x
    x = 149,480,700,012,900/8,184,516
  6. Step 6: Final answer
    x = 18,263,841.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.