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Finding the Third Proportional to 8,583,309 and 12,031,267

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Solution

The third proportional to 8,583,309 and 12,031,267 is: 16,864,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583,309 : 12,031,267 = 12,031,267 : x
  2. Step 2: Convert to fraction form
    8,583,309/12,031,267 = 12,031,267/x
  3. Step 3: Cross multiply
    8,583,309x = 12,031,267 × 12,031,267
  4. Step 4: Simplify right side
    8,583,309x = 144,751,385,625,289
  5. Step 5: Solve for x
    x = 144,751,385,625,289/8,583,309
  6. Step 6: Final answer
    x = 16,864,286.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.