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Finding the Third Proportional to 3,156,256 and 6,706,168

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Solution

The third proportional to 3,156,256 and 6,706,168 is: 14,248,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156,256 : 6,706,168 = 6,706,168 : x
  2. Step 2: Convert to fraction form
    3,156,256/6,706,168 = 6,706,168/x
  3. Step 3: Cross multiply
    3,156,256x = 6,706,168 × 6,706,168
  4. Step 4: Simplify right side
    3,156,256x = 44,972,689,244,224
  5. Step 5: Solve for x
    x = 44,972,689,244,224/3,156,256
  6. Step 6: Final answer
    x = 14,248,745.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.