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Finding the Third Proportional to 8,033,348 and 12,238,257

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Solution

The third proportional to 8,033,348 and 12,238,257 is: 18,644,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033,348 : 12,238,257 = 12,238,257 : x
  2. Step 2: Convert to fraction form
    8,033,348/12,238,257 = 12,238,257/x
  3. Step 3: Cross multiply
    8,033,348x = 12,238,257 × 12,238,257
  4. Step 4: Simplify right side
    8,033,348x = 149,774,934,398,049
  5. Step 5: Solve for x
    x = 149,774,934,398,049/8,033,348
  6. Step 6: Final answer
    x = 18,644,148.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.