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Finding the Third Proportional to 8,027,736 and 17,154,480

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Solution

The third proportional to 8,027,736 and 17,154,480 is: 36,657,431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027,736 : 17,154,480 = 17,154,480 : x
  2. Step 2: Convert to fraction form
    8,027,736/17,154,480 = 17,154,480/x
  3. Step 3: Cross multiply
    8,027,736x = 17,154,480 × 17,154,480
  4. Step 4: Simplify right side
    8,027,736x = 294,276,184,070,400
  5. Step 5: Solve for x
    x = 294,276,184,070,400/8,027,736
  6. Step 6: Final answer
    x = 36,657,431.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.