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Finding the Third Proportional to 6,077,266 and 13,163,469

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Solution

The third proportional to 6,077,266 and 13,163,469 is: 28,512,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077,266 : 13,163,469 = 13,163,469 : x
  2. Step 2: Convert to fraction form
    6,077,266/13,163,469 = 13,163,469/x
  3. Step 3: Cross multiply
    6,077,266x = 13,163,469 × 13,163,469
  4. Step 4: Simplify right side
    6,077,266x = 173,276,916,113,961
  5. Step 5: Solve for x
    x = 173,276,916,113,961/6,077,266
  6. Step 6: Final answer
    x = 28,512,313.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.