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Finding the Third Proportional to 8,423,446 and 12,319,267

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Solution

The third proportional to 8,423,446 and 12,319,267 is: 18,016,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423,446 : 12,319,267 = 12,319,267 : x
  2. Step 2: Convert to fraction form
    8,423,446/12,319,267 = 12,319,267/x
  3. Step 3: Cross multiply
    8,423,446x = 12,319,267 × 12,319,267
  4. Step 4: Simplify right side
    8,423,446x = 151,764,339,417,289
  5. Step 5: Solve for x
    x = 151,764,339,417,289/8,423,446
  6. Step 6: Final answer
    x = 18,016,894.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.