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Finding the Third Proportional to 6,306,166 and 13,658,272

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Solution

The third proportional to 6,306,166 and 13,658,272 is: 29,581,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,166 : 13,658,272 = 13,658,272 : x
  2. Step 2: Convert to fraction form
    6,306,166/13,658,272 = 13,658,272/x
  3. Step 3: Cross multiply
    6,306,166x = 13,658,272 × 13,658,272
  4. Step 4: Simplify right side
    6,306,166x = 186,548,394,025,984
  5. Step 5: Solve for x
    x = 186,548,394,025,984/6,306,166
  6. Step 6: Final answer
    x = 29,581,903.49

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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.